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1157693664 = 25312059309
BaseRepresentation
bin100010100000001…
…0000000011100000
32222200101221011010
41011000100003200
54332332144124
6310513220520
740455143121
oct10500200340
92880357133
101157693664
11544540426
12283861740
13155b00c4a
14ada7a048
156b980529
hex450100e0

1157693664 has 24 divisors (see below), whose sum is σ = 3038946120. Its totient is φ = 385897856.

The previous prime is 1157693657. The next prime is 1157693743. The reversal of 1157693664 is 4663967511.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6029559 + ... + 6029750.

It is an arithmetic number, because the mean of its divisors is an integer number (126622755).

Almost surely, 21157693664 is an apocalyptic number.

It is an amenable number.

1157693664 is an abundant number, since it is smaller than the sum of its proper divisors (1881252456).

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

1157693664 is a wasteful number, since it uses less digits than its factorization.

1157693664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12059322 (or 12059314 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 1157693664 is about 34024.8977074142. The cubic root of 1157693664 is about 1050.0207596803.

The spelling of 1157693664 in words is "one billion, one hundred fifty-seven million, six hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12059309 24118618 36177927 48237236 72355854 96474472 144711708 192948944 289423416 385897888 578846832 1157693664