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97513337831 = 7213218736287
BaseRepresentation
bin101101011010000111…
…1110111001111100111
3100022200212112211000212
41122310033313033213
53044201403302311
6112444053130035
710021320460400
oct1326417671747
9308625484025
1097513337831
113839a811aa8
1216a9502991b
1392705a0200
144a10ac29a7
15280ac95c8b
hex16b43f73e7

97513337831 has 36 divisors (see below), whose sum is σ = 122915899872. Its totient is φ = 77099952384.

The previous prime is 97513337807. The next prime is 97513337837. The reversal of 97513337831 is 13873331579.

It is not a de Polignac number, because 97513337831 - 26 = 97513337767 is a prime.

It is a super-2 number, since 2×975133378312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97513337831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97513337837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15507170 + ... + 15513456.

It is an arithmetic number, because the mean of its divisors is an integer number (3414330552).

Almost surely, 297513337831 is an apocalyptic number.

97513337831 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

97513337831 is a deficient number, since it is larger than the sum of its proper divisors (25402562041).

97513337831 is a wasteful number, since it uses less digits than its factorization.

97513337831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8200 (or 8180 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 50.

The spelling of 97513337831 in words is "ninety-seven billion, five hundred thirteen million, three hundred thirty-seven thousand, eight hundred thirty-one".

Divisors: 1 7 13 49 91 169 637 1183 1873 6287 8281 13111 24349 44009 81731 91777 170443 308063 316537 572117 1062503 1193101 2215759 4004819 7437521 11775551 15510313 52062647 82428857 153082163 577001999 1071575141 1990068119 7501025987 13930476833 97513337831