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153364534053201 = 32137124383239297
BaseRepresentation
bin100010110111101111110110…
…100100101100100101010001
3202010000111200001212200002100
4202313233312210230211101
5130100211031204200301
61302102405545311013
744206136060300622
oct4267576644544521
9663014601780070
10153364534053201
11449595962a45a9
121524b0a8195469
1367762a10c21c3
1429c2c51159a49
1512ae56bb4d286
hex8b7bf692c951

153364534053201 has 12 divisors (see below), whose sum is σ = 223143531300612. Its totient is φ = 101496723265536.

The previous prime is 153364534053127. The next prime is 153364534053329. The reversal of 153364534053201 is 102350435463351.

153364534053201 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 64 + 53 + 4 + 0 + 532 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102388575388176 + 50975958665025 = 10118724^2 + 7139745^2 .

It is not a de Polignac number, because 153364534053201 - 215 = 153364534020433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (153364534053701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62191618416 + ... + 62191620881.

It is an arithmetic number, because the mean of its divisors is an integer number (18595294275051).

Almost surely, 2153364534053201 is an apocalyptic number.

It is an amenable number.

153364534053201 is a deficient number, since it is larger than the sum of its proper divisors (69778997247411).

153364534053201 is a wasteful number, since it uses less digits than its factorization.

153364534053201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124383239440 (or 124383239437 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 153364534053201 in words is "one hundred fifty-three trillion, three hundred sixty-four billion, five hundred thirty-four million, fifty-three thousand, two hundred one".

Divisors: 1 3 9 137 411 1233 124383239297 373149717891 1119449153673 17040503783689 51121511351067 153364534053201