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31869009288 = 23321099974073
BaseRepresentation
bin11101101011100010…
…100111110110001000
310001021000011102010100
4131223202213312020
51010231431244123
622350155245400
72205513052344
oct355342476610
9101230142110
1031869009288
1112574252406
126214a49860
13300b667a5c
141784766624
15c67c64643
hex76b8a7d88

31869009288 has 96 divisors (see below), whose sum is σ = 87212525400. Its totient is φ = 10512405504.

The previous prime is 31869009259. The next prime is 31869009307. The reversal of 31869009288 is 88290096813.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28797411204 + 3071598084 = 169698^2 + 55422^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7822420 + ... + 7826492.

Almost surely, 231869009288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31869009288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43606262700).

31869009288 is an abundant number, since it is smaller than the sum of its proper divisors (55343516112).

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

31869009288 is a wasteful number, since it uses less digits than its factorization.

31869009288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5191 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 31869009288 in words is "thirty-one billion, eight hundred sixty-nine million, nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 997 1308 1962 1994 2616 2991 3924 3988 4073 5982 7848 7976 8146 8973 11964 12219 16292 17946 23928 24438 32584 35892 36657 48876 71784 73314 97752 108673 146628 217346 293256 326019 434692 443957 652038 869384 887914 978057 1304076 1331871 1775828 1956114 2608152 2663742 3551656 3912228 3995613 4060781 5327484 7824456 7991226 8121562 10654968 12182343 15982452 16243124 24364686 31964904 32486248 36547029 48729372 73094058 97458744 146188116 292376232 442625129 885250258 1327875387 1770500516 2655750774 3541001032 3983626161 5311501548 7967252322 10623003096 15934504644 31869009288