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151137819872 = 2513363312067
BaseRepresentation
bin1000110011000010000…
…1000001110011100000
3112110010001110202022022
42030300201001303200
54434012240213442
6153233132001012
713630223162234
oct2146041016340
9473101422268
10151137819872
11591083a5056
122535b900168
1311338212560
14745a9365c4
153de89363d2
hex2330841ce0

151137819872 has 24 divisors (see below), whose sum is σ = 320441243976. Its totient is φ = 69755916672.

The previous prime is 151137819871. The next prime is 151137819883. The reversal of 151137819872 is 278918731151.

It is a super-2 number, since 2×1511378198722 (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 (151137819871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181655618 + ... + 181656449.

It is an arithmetic number, because the mean of its divisors is an integer number (13351718499).

Almost surely, 2151137819872 is an apocalyptic number.

It is an amenable number.

151137819872 is an abundant number, since it is smaller than the sum of its proper divisors (169303424104).

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

151137819872 is a wasteful number, since it uses less digits than its factorization.

151137819872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363312090 (or 363312082 counting only the distinct ones).

The product of its digits is 846720, while the sum is 53.

The spelling of 151137819872 in words is "one hundred fifty-one billion, one hundred thirty-seven million, eight hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 363312067 726624134 1453248268 2906496536 4723056871 5812993072 9446113742 11625986144 18892227484 37784454968 75568909936 151137819872