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93003957697 = 7217111649409
BaseRepresentation
bin101011010011101110…
…1111100010111000001
322220001121100120101211
41112213131330113001
53010433003121242
6110420405330121
76501503411500
oct1264735742701
9286047316354
1093003957697
1136496344a62
1216036a06941
138a02291041
144703c54837
152644e53317
hex15a777c5c1

93003957697 has 12 divisors (see below), whose sum is σ = 114552294660. Its totient is φ = 75028402176.

The previous prime is 93003957689. The next prime is 93003957749. The reversal of 93003957697 is 79675930039.

It can be written as a sum of positive squares in 2 ways, for example, as 78114101121 + 14889856576 = 279489^2 + 122024^2 .

It is not a de Polignac number, because 93003957697 - 23 = 93003957689 is a prime.

It is a super-2 number, since 2×930039576972 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (93003957617) 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, 55823872 + ... + 55825537.

It is an arithmetic number, because the mean of its divisors is an integer number (9546024555).

Almost surely, 293003957697 is an apocalyptic number.

It is an amenable number.

93003957697 is a deficient number, since it is larger than the sum of its proper divisors (21548336963).

93003957697 is a wasteful number, since it uses less digits than its factorization.

93003957697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111649440 (or 111649433 counting only the distinct ones).

The product of its (nonzero) digits is 9644670, while the sum is 58.

The spelling of 93003957697 in words is "ninety-three billion, three million, nine hundred fifty-seven thousand, six hundred ninety-seven".

Divisors: 1 7 17 49 119 833 111649409 781545863 1898039953 5470821041 13286279671 93003957697