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10425938976 = 253417236609
BaseRepresentation
bin10011011010110111…
…10011010000100000
3222220121020120120000
421231123303100200
5132323020021401
64442320020000
7516236006355
oct115533632040
928817216500
1010425938976
1144701972a2
12202b761600
13ca201147b
1470c95a62c
15410497186
hex26d6f3420

10425938976 has 120 divisors (see below), whose sum is σ = 32466204540. Its totient is φ = 3270868992.

The previous prime is 10425938953. The next prime is 10425938987. The reversal of 10425938976 is 67983952401.

10425938976 is a `hidden beast` number, since 1 + 0 + 4 + 259 + 389 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10095426576 + 330512400 = 100476^2 + 18180^2 .

It is a super-3 number, since 3×104259389763 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74241 + ... + 162368.

It is a 1-persistent number, because it is pandigital, but 2⋅10425938976 = 20851877952 is not.

Almost surely, 210425938976 is an apocalyptic number.

10425938976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10425938976 is an abundant number, since it is smaller than the sum of its proper divisors (22040265564).

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

10425938976 is a wasteful number, since it uses less digits than its factorization.

10425938976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236648 (or 236631 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10425938976 in words is "ten billion, four hundred twenty-five million, nine hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 44064 236609 473218 709827 946436 1419654 1892872 2129481 2839308 3785744 4022353 4258962 5678616 6388443 7571488 8044706 8517924 11357232 12067059 12776886 16089412 17035848 19165329 22714464 24134118 25553772 32178824 34071696 36201177 38330658 48268236 51107544 64357648 68143392 72402354 76661316 96536472 102215088 108603531 128715296 144804708 153322632 193072944 204430176 217207062 289609416 306645264 325810593 386145888 434414124 579218832 613290528 651621186 868828248 1158437664 1303242372 1737656496 2606484744 3475312992 5212969488 10425938976