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10514593432 = 23717591311429
BaseRepresentation
bin10011100101011011…
…11111011010011000
31000010210001200121101
421302231333122120
5133013213442212
64455204121144
7521363366230
oct116255773230
930123050541
1010514593432
114506239742
1220553961b4
13cb74b1b25
1471a636cc0
1541815a157
hex272b7f698

10514593432 has 128 divisors (see below), whose sum is σ = 24463296000. Its totient is φ = 4134574080.

The previous prime is 10514593429. The next prime is 10514593513. The reversal of 10514593432 is 23439541501.

It is a super-2 number, since 2×105145934322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10514593391 and 10514593400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7357294 + ... + 7358722.

It is an arithmetic number, because the mean of its divisors is an integer number (191119500).

Almost surely, 210514593432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10514593432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12231648000).

10514593432 is an abundant number, since it is smaller than the sum of its proper divisors (13948702568).

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

10514593432 is a wasteful number, since it uses less digits than its factorization.

10514593432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 10514593432 in words is "ten billion, five hundred fourteen million, five hundred ninety-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 59 68 118 119 131 136 236 238 262 413 472 476 524 826 917 952 1003 1048 1429 1652 1834 2006 2227 2858 3304 3668 4012 4454 5716 7021 7336 7729 8024 8908 10003 11432 14042 15458 15589 17816 20006 24293 28084 30916 31178 40012 48586 54103 56168 61832 62356 80024 84311 97172 108206 124712 131393 168622 170051 187199 194344 216412 262786 337244 340102 374398 432824 525572 590177 674488 680204 748796 919751 1051144 1180354 1310393 1360408 1433287 1497592 1839502 2360708 2620786 2866574 3182383 3679004 4721416 5241572 5733148 6364766 7358008 10033009 10483144 11044741 11466296 12729532 20066018 22089482 22276681 25459064 40132036 44178964 44553362 77313187 80264072 88357928 89106724 154626374 178213448 187760597 309252748 375521194 618505496 751042388 1314324179 1502084776 2628648358 5257296716 10514593432