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10125255504 = 2437132838191
BaseRepresentation
bin10010110111000001…
…10010001101010000
3222010122110021101010
421123200302031100
5131214031134004
64352415210520
7505625152230
oct113340621520
928118407333
1010125255504
114326496361
121b66b16a40
13c54934560
146c0a49cc0
153e3da0a89
hex25b832350

10125255504 has 160 divisors (see below), whose sum is σ = 32310820864. Its totient is φ = 2660636160.

The previous prime is 10125255493. The next prime is 10125255529. The reversal of 10125255504 is 40555252101.

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, 1232049 + ... + 1240239.

Almost surely, 210125255504 is an apocalyptic number.

10125255504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10125255504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155410432).

10125255504 is an abundant number, since it is smaller than the sum of its proper divisors (22185565360).

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

10125255504 is a wasteful number, since it uses less digits than its factorization.

10125255504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8505 (or 8499 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 10125255504 in words is "ten billion, one hundred twenty-five million, two hundred fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 283 312 336 364 546 566 624 728 849 1092 1132 1456 1698 1981 2184 2264 3396 3679 3962 4368 4528 5943 6792 7358 7924 8191 11037 11886 13584 14716 15848 16382 22074 23772 24573 25753 29432 31696 32764 44148 47544 49146 51506 57337 58864 65528 77259 88296 95088 98292 103012 106483 114674 131056 154518 172011 176592 196584 206024 212966 229348 309036 319449 344022 393168 412048 425932 458696 618072 638898 688044 745381 851864 917392 1236144 1277796 1376088 1490762 1703728 2236143 2318053 2555592 2752176 2981524 4472286 4636106 5111184 5963048 6954159 8944572 9272212 11926096 13908318 16226371 17889144 18544424 27816636 30134689 32452742 35778288 37088848 48679113 55633272 60269378 64905484 90404067 97358226 111266544 120538756 129810968 180808134 194716452 210942823 241077512 259621936 361616268 389432904 421885646 482155024 632828469 723232536 778865808 843771292 1265656938 1446465072 1687542584 2531313876 3375085168 5062627752 10125255504