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68938155928224 = 25321128376893221
BaseRepresentation
bin11111010110010111010100…
…10010111010101010100000
3100001002102102121122222122200
433223023222102322222200
533013440320404200344
6402341430203533200
720343421524654522
oct1753135222725240
9301072377588580
1068938155928224
111aa69564897810
127894814b2a200
132c60abcc2cc6b
1413048a5a9da12
157e838dbba069
hex3eb2ea4baaa0

68938155928224 has 144 divisors (see below), whose sum is σ = 214620670371744. Its totient is φ = 20816532518400.

The previous prime is 68938155928223. The next prime is 68938155928247. The reversal of 68938155928224 is 42282955183986.

It is a happy number.

68938155928224 is a `hidden beast` number, since 6 + 8 + 9 + 3 + 8 + 1 + 5 + 592 + 8 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (68938155928223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37550067 + ... + 39343154.

It is an arithmetic number, because the mean of its divisors is an integer number (1490421322026).

Almost surely, 268938155928224 is an apocalyptic number.

It is an amenable number.

68938155928224 is an abundant number, since it is smaller than the sum of its proper divisors (145682514443520).

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

68938155928224 is a wasteful number, since it uses less digits than its factorization.

68938155928224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76893531 (or 76893520 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 68938155928224 in words is "sixty-eight trillion, nine hundred thirty-eight billion, one hundred fifty-five million, nine hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 283 288 352 396 528 566 792 849 1056 1132 1584 1698 2264 2547 3113 3168 3396 4528 5094 6226 6792 9056 9339 10188 12452 13584 18678 20376 24904 27168 28017 37356 40752 49808 56034 74712 81504 99616 112068 149424 224136 298848 448272 896544 76893221 153786442 230679663 307572884 461359326 615145768 692038989 845825431 922718652 1230291536 1384077978 1691650862 1845437304 2460583072 2537476293 2768155956 3383301724 3690874608 5074952586 5536311912 6766603448 7381749216 7612428879 10149905172 11072623824 13533206896 15224857758 20299810344 21760781543 22145247648 27066413792 30449715516 40599620688 43521563086 60899431032 65282344629 81199241376 87043126172 121798862064 130564689258 174086252344 195847033887 239368596973 243597724128 261129378516 348172504688 391694067774 478737193946 522258757032 696345009376 718105790919 783388135548 957474387892 1044517514064 1436211581838 1566776271096 1914948775784 2089035028128 2154317372757 2872423163676 3133552542192 3829897551568 4308634745514 5744846327352 6267105084384 7659795103136 8617269491028 11489692654704 17234538982056 22979385309408 34469077964112 68938155928224