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151344764555076 = 223631273492
BaseRepresentation
bin100010011010010110110010…
…111011100000111101000100
3201211212102021212020021000000
4202122112302323200331010
5124314113034211230301
61253514454111321300
743610204231652021
oct4232266273407504
9654772255207000
10151344764555076
114424aa55050214
1214b83767520230
13665a999b59a61
1429531a8c66548
151276c58286786
hex89a5b2ee0f44

151344764555076 has 189 divisors, whose sum is σ = 410377030858893. Its totient is φ = 48814248589920.

The previous prime is 151344764555059. The next prime is 151344764555093. The reversal of 151344764555076 is 670555467443151.

It is a happy number.

The square root of 151344764555076 is 12302226.

It is a perfect power (a square), and thus also a powerful number.

151344764555076 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 4 + 4 + 7 + 6 + 4 + 5 + 550 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (151344764555059) and next prime (151344764555093).

It can be written as a sum of positive squares in only one way, i.e., 104238504995076 + 47106259560000 = 10209726^2 + 6863400^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20593922650 + ... + 20593929998.

Almost surely, 2151344764555076 is an apocalyptic number.

151344764555076 is the 12302226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151344764555076

151344764555076 is an abundant number, since it is smaller than the sum of its proper divisors (259032266303817).

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

151344764555076 is an frugal number, since it uses more digits than its factorization.

151344764555076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14782 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 211680000, while the sum is 63.

The spelling of 151344764555076 in words is "one hundred fifty-one trillion, three hundred forty-four billion, seven hundred sixty-four million, five hundred fifty-five thousand, seventy-six".