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165151999272 = 2331319169716417
BaseRepresentation
bin1001100111001111010…
…0111000010100101000
3120210021201121211100210
42121303310320110220
510201212402434042
6203511512301120
714634422555151
oct2316364702450
9523251554323
10165151999272
1164049aa84a7
12280110a17a0
131275c7473c0
147dc9c60928
154468e1aa9c
hex2673d38528

165151999272 has 128 divisors (see below), whose sum is σ = 468346435200. Its totient is φ = 48110174208.

The previous prime is 165151999247. The next prime is 165151999339. The reversal of 165151999272 is 272999151561.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10051608 + ... + 10068024.

It is an arithmetic number, because the mean of its divisors is an integer number (3658956525).

Almost surely, 2165151999272 is an apocalyptic number.

165151999272 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 165151999272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234173217600).

165151999272 is an abundant number, since it is smaller than the sum of its proper divisors (303194435928).

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

165151999272 is a wasteful number, since it uses less digits than its factorization.

165151999272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18155 (or 18151 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 57.

The spelling of 165151999272 in words is "one hundred sixty-five billion, one hundred fifty-one million, nine hundred ninety-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1697 1976 2964 3394 5091 5928 6788 10182 13576 16417 20364 22061 32243 32834 40728 44122 49251 64486 65668 66183 88244 96729 98502 128972 131336 132366 176488 193458 197004 213421 257944 264732 311923 386916 394008 419159 426842 529464 623846 640263 773832 838318 853684 935769 1247692 1257477 1280526 1676636 1707368 1871538 2495384 2514954 2561052 3353272 3743076 4054999 5029908 5122104 7486152 8109998 10059816 12164997 16219996 24329994 27859649 32439992 48659988 55719298 83578947 97319976 111438596 167157894 222877192 334315788 362175437 529333331 668631576 724350874 1058666662 1086526311 1448701748 1587999993 2117333324 2173052622 2897403496 3175999986 4234666648 4346105244 6351999972 6881333303 8692210488 12703999944 13762666606 20643999909 27525333212 41287999818 55050666424 82575999636 165151999272