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253995677568 = 2732220482359
BaseRepresentation
bin1110110010001101010…
…0100111011110000000
3220021121101200022022100
43230203110213132000
513130140343140233
6312403424510400
724231151431333
oct3544324473600
9807541608270
10253995677568
119879aa35a16
124128677b400
131ac4ab29049
14c41735c61a
1569189d8813
hex3b23527780

253995677568 has 48 divisors (see below), whose sum is σ = 730899023400. Its totient is φ = 84665225472.

The previous prime is 253995677563. The next prime is 253995677581. The reversal of 253995677568 is 865776599352.

253995677568 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 9 + 56 + 7 + 7 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 253995677496 and 253995677505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253995677563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110240028 + ... + 110242331.

Almost surely, 2253995677568 is an apocalyptic number.

It is an amenable number.

253995677568 is an abundant number, since it is smaller than the sum of its proper divisors (476903345832).

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

253995677568 is a wasteful number, since it uses less digits than its factorization.

253995677568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220482379 (or 220482364 counting only the distinct ones).

The product of its digits is 857304000, while the sum is 72.

The spelling of 253995677568 in words is "two hundred fifty-three billion, nine hundred ninety-five million, six hundred seventy-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 220482359 440964718 661447077 881929436 1322894154 1763858872 1984341231 2645788308 3527717744 3968682462 5291576616 7055435488 7937364924 10583153232 14110870976 15874729848 21166306464 28221741952 31749459696 42332612928 63498919392 84665225856 126997838784 253995677568