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154438075032 = 233536713913037
BaseRepresentation
bin1000111111010100111…
…0100000001010011000
3112202122001111002021220
42033311032200022120
510012242121400112
6154540423532040
714105055656343
oct2176516401230
9482561432256
10154438075032
115a5512a365a
1225b20bba020
1311742b83a67
147690d7b45a
15403d53998c
hex23f53a0298

154438075032 has 128 divisors (see below), whose sum is σ = 402154502400. Its totient is φ = 49392465408.

The previous prime is 154438075031. The next prime is 154438075081. The reversal of 154438075032 is 230570834451.

It is a super-2 number, since 2×1544380750322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154438075031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11839618 + ... + 11852654.

It is an arithmetic number, because the mean of its divisors is an integer number (3141832050).

Almost surely, 2154438075032 is an apocalyptic number.

154438075032 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 154438075032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201077251200).

154438075032 is an abundant number, since it is smaller than the sum of its proper divisors (247716427368).

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

154438075032 is a wasteful number, since it uses less digits than its factorization.

154438075032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13305 (or 13301 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 154438075032 in words is "one hundred fifty-four billion, four hundred thirty-eight million, seventy-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 67 106 134 139 159 201 212 268 278 318 402 417 424 536 556 636 804 834 1112 1272 1608 1668 3336 3551 7102 7367 9313 10653 13037 14204 14734 18626 21306 22101 26074 27939 28408 29468 37252 39111 42612 44202 52148 55878 58936 74504 78222 85224 88404 104296 111756 156444 176808 223512 312888 493589 690961 873479 987178 1381922 1480767 1746958 1812143 1974356 2072883 2620437 2763844 2961534 3493916 3624286 3948712 4145766 5240874 5436429 5527688 5923068 6987832 7248572 8291532 10481748 10872858 11846136 14497144 16583064 20963496 21745716 43491432 46294387 92588774 96043579 121413581 138883161 185177548 192087158 242827162 277766322 288130737 364240743 370355096 384174316 485654324 555532644 576261474 728481486 768348632 971308648 1111065288 1152522948 1456962972 2305045896 2913925944 6434919793 12869839586 19304759379 25739679172 38609518758 51479358344 77219037516 154438075032