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138981296448 = 2633731101767
BaseRepresentation
bin1000000101101111101…
…1100100100101000000
3111021201211211101012000
42001123323210211000
54234113202441243
6143502551304000
713020041346051
oct2013373444500
9437654741160
10138981296448
1153a3a356085
1222b2867b000
131014b806827
146a26212728
1539365985d3
hex205bee4940

138981296448 has 112 divisors (see below), whose sum is σ = 414176626560. Its totient is φ = 45692439552.

The previous prime is 138981296431. The next prime is 138981296491. The reversal of 138981296448 is 844692189831.

138981296448 is a `hidden beast` number, since 1 + 3 + 8 + 98 + 12 + 96 + 448 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424740 + ... + 677027.

Almost surely, 2138981296448 is an apocalyptic number.

138981296448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138981296448 is an abundant number, since it is smaller than the sum of its proper divisors (275195330112).

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

138981296448 is a wasteful number, since it uses less digits than its factorization.

138981296448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101861 (or 1101845 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 138981296448 in words is "one hundred thirty-eight billion, nine hundred eighty-one million, two hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1314 1728 1752 1971 2336 2628 3504 3942 4672 5256 7008 7884 10512 14016 15768 21024 31536 42048 63072 126144 1101767 2203534 3305301 4407068 6610602 8814136 9915903 13221204 17628272 19831806 26442408 29747709 35256544 39663612 52884816 59495418 70513088 79327224 80428991 105769632 118990836 158654448 160857982 211539264 237981672 241286973 317308896 321715964 475963344 482573946 634617792 643431928 723860919 951926688 965147892 1286863856 1447721838 1903853376 1930295784 2171582757 2573727712 2895443676 3860591568 4343165514 5147455424 5790887352 7721183136 8686331028 11581774704 15442366272 17372662056 23163549408 34745324112 46327098816 69490648224 138981296448