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31354129976 = 23131932695807
BaseRepresentation
bin11101001100110110…
…100000111000111000
32222221010022211111012
4131030312200320320
51003203124124401
622223123453052
72156661464441
oct351466407070
988833284435
1031354129976
111232a652a14
1260b0527188
132c58aa3240
14173621a2c8
15c3795c8bb
hex74cda0e38

31354129976 has 64 divisors (see below), whose sum is σ = 63886838400. Its totient is φ = 14340169728.

The previous prime is 31354129967. The next prime is 31354129981. The reversal of 31354129976 is 67992145313.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5396465 + ... + 5402271.

It is an arithmetic number, because the mean of its divisors is an integer number (998231850).

Almost surely, 231354129976 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 31354129976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31943419200).

31354129976 is an abundant number, since it is smaller than the sum of its proper divisors (32532708424).

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

31354129976 is a wasteful number, since it uses less digits than its factorization.

31354129976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6284 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 50.

The spelling of 31354129976 in words is "thirty-one billion, three hundred fifty-four million, one hundred twenty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 104 193 269 386 538 772 1076 1544 2152 2509 3497 5018 5807 6994 10036 11614 13988 20072 23228 27976 46456 51917 75491 103834 150982 207668 301964 415336 603928 674921 1120751 1349842 1562083 2241502 2699684 3124166 4483004 5399368 6248332 8966008 12496664 14569763 20307079 29139526 40614158 58279052 81228316 116558104 162456632 301482019 602964038 1205928076 2411856152 3919266247 7838532494 15677064988 31354129976