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138522967296 = 283731831191
BaseRepresentation
bin1000000100000010011…
…1001011110100000000
3111020112220101211210020
42001000213023310000
54232143334423141
6143345255533440
713002504536340
oct2010047136400
9436486354706
10138522967296
115382467065a
1222a1b08a280
13100a788194c
1469c13c6d20
15390b212266
hex20409cbd00

138522967296 has 144 divisors (see below), whose sum is σ = 434932850688. Its totient is φ = 38301235200.

The previous prime is 138522967249. The next prime is 138522967321. The reversal of 138522967296 is 692769225831.

It is a super-2 number, since 2×1385229672962 (a number of 23 digits) contains 22 as substring.

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, 248940 + ... + 582251.

Almost surely, 2138522967296 is an apocalyptic number.

138522967296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138522967296 is an abundant number, since it is smaller than the sum of its proper divisors (296409883392).

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

138522967296 is an equidigital number, since it uses as much as digits as its factorization.

138522967296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831248 (or 831234 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 60.

The spelling of 138522967296 in words is "one hundred thirty-eight billion, five hundred twenty-two million, nine hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13888 20832 23808 27776 41664 55552 83328 166656 831191 1662382 2493573 3324764 4987146 5818337 6649528 9974292 11636674 13299056 17455011 19948584 23273348 25766921 26598112 34910022 39897168 46546696 51533842 53196224 69820044 77300763 79794336 93093392 103067684 106392448 139640088 154601526 159588672 180368447 186186784 206135368 212784896 279280176 309203052 319177344 360736894 372373568 412270736 541105341 558560352 618406104 638354688 721473788 744747136 824541472 1082210682 1117120704 1236812208 1442947576 1489494272 1649082944 2164421364 2234241408 2473624416 2885895152 3298165888 4328842728 4468482816 4947248832 5771790304 6596331776 8657685456 9894497664 11543580608 17315370912 19788995328 23087161216 34630741824 46174322432 69261483648 138522967296