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31969797601 = 74412892
BaseRepresentation
bin11101110001100011…
…000110010111100001
310001112000210222200211
4131301203012113201
51010433232010401
622404155414121
72211145540000
oct356143062741
9101460728624
1031969797601
1112616132135
126242754341
1330264c6301
141793cc0c37
15c71a22951
hex7718c65e1

31969797601 has 45 divisors (see below), whose sum is σ = 38662071353. Its totient is φ = 26433939840.

The previous prime is 31969797557. The next prime is 31969797641. The reversal of 31969797601 is 10679796913.

The square root of 31969797601 is 178801.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19488439201 + 12481358400 = 139601^2 + 111720^2 .

It is not a de Polignac number, because 31969797601 - 27 = 31969797473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31969797641) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 359211165 + ... + 359211253.

Almost surely, 231969797601 is an apocalyptic number.

31969797601 is the 178801-st square number.

31969797601 is the 89401-st centered octagonal number.

It is an amenable number.

31969797601 is a deficient number, since it is larger than the sum of its proper divisors (6692273752).

31969797601 is an frugal number, since it uses more digits than its factorization.

31969797601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 58.

The spelling of 31969797601 in words is "thirty-one billion, nine hundred sixty-nine million, seven hundred ninety-seven thousand, six hundred one".

Divisors: 1 7 41 49 89 287 343 623 1681 2009 2401 3649 4361 7921 11767 14063 25543 30527 55447 82369 98441 149609 178801 213689 324761 388129 576583 1047263 1251607 2273327 2716903 4036081 7330841 8761249 13315201 15913289 19018321 51315887 93206407 111393023 359211209 652444849 779751161 4567113943 31969797601