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150682005012 = 223711353461971
BaseRepresentation
bin1000110001010101011…
…0001110111000010100
3112101221021202221212110
42030111112032320110
54432044043130022
6153120010151020
713613016624030
oct2142526167024
9471837687773
10150682005012
11589a4077660
1225253122470
131129495ac16
1474161a31c0
153dbd8ea00c
hex231558ee14

150682005012 has 96 divisors (see below), whose sum is σ = 439590380544. Its totient is φ = 39027225600.

The previous prime is 150682004999. The next prime is 150682005041. The reversal of 150682005012 is 210500286051.

It is a congruent number.

It is an unprimeable number.

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, 95187 + ... + 557157.

It is an arithmetic number, because the mean of its divisors is an integer number (4579066464).

Almost surely, 2150682005012 is an apocalyptic number.

150682005012 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 150682005012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219795190272).

150682005012 is an abundant number, since it is smaller than the sum of its proper divisors (288908375532).

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

150682005012 is a wasteful number, since it uses less digits than its factorization.

150682005012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462349 (or 462347 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 150682005012 in words is "one hundred fifty billion, six hundred eighty-two million, five thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 353 462 706 924 1059 1412 2118 2471 3883 4236 4942 7413 7766 9884 11649 14826 15532 23298 27181 29652 46596 54362 81543 108724 163086 326172 461971 923942 1385913 1847884 2771826 3233797 5081681 5543652 6467594 9701391 10163362 12935188 15245043 19402782 20326724 30490086 35571767 38805564 60980172 71143534 106715301 142287068 163075763 213430602 326151526 426861204 489227289 652303052 978454578 1141530341 1793833393 1956909156 2283060682 3424591023 3587666786 4566121364 5381500179 6849182046 7175333572 10763000358 12556833751 13698364092 21526000716 25113667502 37670501253 50227335004 75341002506 150682005012