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31369368996 = 22327242172
BaseRepresentation
bin11101001101110000…
…101001010110100100
32222222012000001111100
4131031300221112210
51003221024301441
622224430240100
72160235144200
oct351560512644
988865001440
1031369368996
1112338211249
1260b5656030
132c5bcaa604
141738265b00
15c38e6ccb6
hex74dc295a4

31369368996 has 81 divisors (see below), whose sum is σ = 92262761409. Its totient is φ = 8960551488.

The previous prime is 31369368931. The next prime is 31369369013. The reversal of 31369368996 is 69986396313.

The square root of 31369368996 is 177114.

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

It can be written as a sum of positive squares in only one way, i.e., 27872302500 + 3497066496 = 166950^2 + 59136^2 .

It is a super-2 number, since 2×313693689962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7436680 + ... + 7440896.

Almost surely, 231369368996 is an apocalyptic number.

31369368996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31369368996 is the 177114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31369368996

31369368996 is an abundant number, since it is smaller than the sum of its proper divisors (60893392413).

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

31369368996 is an equidigital number, since it uses as much as digits as its factorization.

31369368996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8458 (or 4229 counting only the distinct ones).

The product of its digits is 34012224, while the sum is 63.

The spelling of 31369368996 in words is "thirty-one billion, three hundred sixty-nine million, three hundred sixty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 4217 8434 12651 16868 25302 29519 37953 50604 59038 75906 88557 118076 151812 177114 206633 265671 354228 413266 531342 619899 826532 1062684 1239798 1859697 2479596 3719394 7438788 17783089 35566178 53349267 71132356 106698534 124481623 160047801 213397068 248963246 320095602 373444869 497926492 640191204 746889738 871371361 1120334607 1493779476 1742742722 2240669214 2614114083 3485485444 4481338428 5228228166 7842342249 10456456332 15684684498 31369368996