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168330631812372 = 2232171374651431663
BaseRepresentation
bin100110010001100010000111…
…100000111001010100010100
3211002000020210011011202212200
4212101202013200321110110
5134030412113220443442
61354002005200244500
750312325656265201
oct4621420740712424
9732006704152780
10168330631812372
11496a9690318827
1216a67730010730
1372c0683665a43
142d7d36323cca8
15146d9eccc434c
hex991887839514

168330631812372 has 144 divisors (see below), whose sum is σ = 453919166168832. Its totient is φ = 52412745369600.

The previous prime is 168330631812359. The next prime is 168330631812373. The reversal of 168330631812372 is 273218136033861.

168330631812372 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 30 + 63 + 181 + 2 + 372 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168330631812373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389742613 + ... + 390174275.

It is an arithmetic number, because the mean of its divisors is an integer number (3152216431728).

Almost surely, 2168330631812372 is an apocalyptic number.

168330631812372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168330631812372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226959583084416).

168330631812372 is an abundant number, since it is smaller than the sum of its proper divisors (285588534356460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168330631812372 is a wasteful number, since it uses less digits than its factorization.

168330631812372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436478 (or 436473 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 168330631812372 in words is "one hundred sixty-eight trillion, three hundred thirty billion, six hundred thirty-one million, eight hundred twelve thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 137 153 204 274 306 411 548 612 822 1233 1644 2329 2466 4651 4658 4932 6987 9302 9316 13953 13974 18604 20961 27906 27948 41859 41922 55812 79067 83718 83844 158134 167436 237201 316268 431663 474402 637187 711603 863326 948804 1274374 1294989 1423206 1726652 1911561 2548748 2589978 2846412 3823122 3884967 5179956 5734683 7338271 7646244 7769934 10832179 11469366 14676542 15539868 21664358 22014813 22938732 29353084 32496537 43328716 44029626 59137831 64993074 66044439 88059252 97489611 118275662 129986148 132088878 177413493 194979222 236551324 264177756 354826986 389958444 532240479 709653972 1005343127 1064480958 2007664613 2010686254 2128961916 3016029381 4015329226 4021372508 6022993839 6032058762 8030658452 9048088143 12045987678 12064117524 18068981517 18096176286 24091975356 34130298421 36137963034 36192352572 68260596842 72275926068 102390895263 136521193684 204781790526 275050051981 307172685789 409563581052 550100103962 614345371578 825150155943 1100200207924 1228690743156 1650300311886 2475450467829 3300600623772 4675850883677 4950900935658 9351701767354 9901801871316 14027552651031 18703403534708 28055105302062 42082657953093 56110210604124 84165315906186 168330631812372