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151600106512 = 2437972640013
BaseRepresentation
bin1000110100110000010…
…0100000110000010000
3112111022021100100100201
42031030010200300100
54440434111402022
6153351044224544
713644535433551
oct2151404406020
9474267310321
10151600106512
1159325342928
122546a69b154
13113acc2184a
1474a20b2328
153e24300127
hex234c120c10

151600106512 has 40 divisors (see below), whose sum is σ = 304773776216. Its totient is φ = 72991051776.

The previous prime is 151600106501. The next prime is 151600106521. The reversal of 151600106512 is 215601006151.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51336683776 + 100263422736 = 226576^2 + 316644^2 .

It is a super-2 number, since 2×1516001065122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1262583 + ... + 1377430.

Almost surely, 2151600106512 is an apocalyptic number.

It is an amenable number.

151600106512 is an abundant number, since it is smaller than the sum of its proper divisors (153173669704).

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

151600106512 is a wasteful number, since it uses less digits than its factorization.

151600106512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640155 (or 2640149 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 151600106512 in words is "one hundred fifty-one billion, six hundred million, one hundred six thousand, five hundred twelve".

Divisors: 1 2 4 8 16 37 74 97 148 194 296 388 592 776 1552 3589 7178 14356 28712 57424 2640013 5280026 10560052 21120104 42240208 97680481 195360962 256081261 390721924 512162522 781443848 1024325044 1562887696 2048650088 4097300176 9475006657 18950013314 37900026628 75800053256 151600106512