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13625503056 = 24321119514409
BaseRepresentation
bin11001011000010010…
…01010110101010000
31022011120210021100100
430230021022311100
5210401112044211
610132013452400
7661436602464
oct145411126520
938146707310
1013625503056
115862272130
1227831a1100
131391b59759
149338704a4
1554b30b156
hex32c24ad50

13625503056 has 120 divisors (see below), whose sum is σ = 41629835520. Its totient is φ = 4125888000.

The previous prime is 13625503019. The next prime is 13625503061. The reversal of 13625503056 is 65030552631.

13625503056 is a `hidden beast` number, since 13 + 62 + 550 + 30 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13625503056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3088180 + ... + 3092588.

It is an arithmetic number, because the mean of its divisors is an integer number (346915296).

Almost surely, 213625503056 is an apocalyptic number.

13625503056 is a gapful number since it is divisible by the number (16) 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 13625503056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20814917760).

13625503056 is an abundant number, since it is smaller than the sum of its proper divisors (28004332464).

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

13625503056 is a wasteful number, since it uses less digits than its factorization.

13625503056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6376 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 13625503056 in words is "thirteen billion, six hundred twenty-five million, five hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 1951 3902 4409 5853 7804 8818 11706 13227 15608 17559 17636 21461 23412 26454 31216 35118 35272 39681 42922 46824 48499 52908 64383 70236 70544 79362 85844 93648 96998 105816 128766 140472 145497 158724 171688 193149 193996 211632 257532 280944 290994 317448 343376 386298 387992 436491 515064 581988 634896 772596 775984 872982 1030128 1163976 1545192 1745964 2327952 3090384 3491928 6983856 8601959 17203918 25805877 34407836 51611754 68815672 77417631 94621549 103223508 137631344 154835262 189243098 206447016 283864647 309670524 378486196 412894032 567729294 619341048 756972392 851593941 1135458588 1238682096 1513944784 1703187882 2270917176 3406375764 4541834352 6812751528 13625503056