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138999634848 = 2533163986989
BaseRepresentation
bin1000000101110100000…
…1100001101110100000
3111021210010100001202000
42001131001201232200
54234132401303343
6143504444324000
713020353254554
oct2013501415640
9437703301660
10138999634848
1153a49740a88
1222b32843600
1310152557859
146a28827864
153937ebbed3
hex205d061ba0

138999634848 has 96 divisors (see below), whose sum is σ = 407903227200. Its totient is φ = 46048912128.

The previous prime is 138999634843. The next prime is 138999634849. The reversal of 138999634848 is 848436999831.

138999634848 is a `hidden beast` number, since 1 + 3 + 89 + 9 + 9 + 63 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (138999634841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352663 + ... + 634326.

It is an arithmetic number, because the mean of its divisors is an integer number (4248991950).

Almost surely, 2138999634848 is an apocalyptic number.

138999634848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138999634848 is an abundant number, since it is smaller than the sum of its proper divisors (268903592352).

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

138999634848 is a wasteful number, since it uses less digits than its factorization.

138999634848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987171 (or 987157 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 138999634848 in words is "one hundred thirty-eight billion, nine hundred ninety-nine million, six hundred thirty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 163 216 288 326 432 489 652 864 978 1304 1467 1956 2608 2934 3912 4401 5216 5868 7824 8802 11736 15648 17604 23472 35208 46944 70416 140832 986989 1973978 2960967 3947956 5921934 7895912 8882901 11843868 15791824 17765802 23687736 26648703 31583648 35531604 47375472 53297406 71063208 94750944 106594812 142126416 160879207 213189624 284252832 321758414 426379248 482637621 643516828 852758496 965275242 1287033656 1447912863 1930550484 2574067312 2895825726 3861100968 4343738589 5148134624 5791651452 7722201936 8687477178 11583302904 15444403872 17374954356 23166605808 34749908712 46333211616 69499817424 138999634848