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917957000357 = 137163370911083
BaseRepresentation
bin11010101101110101000…
…00000011110010100101
310020202102000001012211122
431112322200003302211
5110014433443002412
61541411552143325
7123214554522155
oct15267240036245
93222360035748
10917957000357
11324337882a61
12129aa5b37b45
1368741b126c7
143260221c765
1518d28c3e572
hexd5ba803ca5

917957000357 has 16 divisors (see below), whose sum is σ = 930664956480. Its totient is φ = 905340177792.

The previous prime is 917957000347. The next prime is 917957000449. The reversal of 917957000357 is 753000759719.

It is a cyclic number.

It is not a de Polignac number, because 917957000357 - 28 = 917957000101 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 917957000299 and 917957000308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (917957000347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82820138 + ... + 82831220.

It is an arithmetic number, because the mean of its divisors is an integer number (58166559780).

Almost surely, 2917957000357 is an apocalyptic number.

It is an amenable number.

917957000357 is a deficient number, since it is larger than the sum of its proper divisors (12707956123).

917957000357 is a wasteful number, since it uses less digits than its factorization.

917957000357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15092.

The product of its (nonzero) digits is 2083725, while the sum is 53.

The spelling of 917957000357 in words is "nine hundred seventeen billion, nine hundred fifty-seven million, three hundred fifty-seven", and thus it is an aban number.

Divisors: 1 137 163 3709 11083 22331 508133 604567 1518371 1806529 41106847 82825679 247494473 5631638039 6700416061 917957000357