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13049953576152 = 23331149301938993
BaseRepresentation
bin1011110111100110110111…
…0110001110010011011000
31201012120012200222010100120
42331321231312032103120
53202302301103414102
643431022123033240
72514554005112553
oct275715566162330
951176180863316
1013049953576152
1141814aa644929
12156920306b820
137387b3c226bc
1433189a50d69a
151796d4e0b6bc
hexbde6dd8e4d8

13049953576152 has 128 divisors (see below), whose sum is σ = 33915421440000. Its totient is φ = 4179917445120.

The previous prime is 13049953576123. The next prime is 13049953576171. The reversal of 13049953576152 is 25167535994031.

It is a happy number.

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, 334654768 + ... + 334693760.

It is an arithmetic number, because the mean of its divisors is an integer number (264964230000).

Almost surely, 213049953576152 is an apocalyptic number.

13049953576152 is a gapful number since it is divisible by the number (12) 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 13049953576152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16957710720000).

13049953576152 is an abundant number, since it is smaller than the sum of its proper divisors (20865467863848).

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

13049953576152 is a wasteful number, since it uses less digits than its factorization.

13049953576152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42201 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 60.

The spelling of 13049953576152 in words is "thirteen trillion, forty-nine billion, nine hundred fifty-three million, five hundred seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 149 186 248 298 372 447 596 744 894 1192 1788 3019 3576 4619 6038 9057 9238 12076 13857 18114 18476 24152 27714 36228 36952 38993 55428 72456 77986 93589 110856 116979 155972 187178 233958 280767 311944 374356 449831 467916 561534 748712 899662 935832 1123068 1208783 1349493 1799324 2246136 2417566 2698986 3598648 3626349 4835132 5397972 5809957 7252698 9670264 10795944 11619914 13944761 14505396 17429871 23239828 27889522 29010792 34859742 41834283 46479656 55779044 69719484 83668566 111558088 117719867 139438968 167337132 180108667 235439734 334674264 353159601 360217334 470879468 540326001 706319202 720434668 941758936 1080652002 1412638404 1440869336 2161304004 2825276808 3649315877 4322608008 7298631754 10947947631 14597263508 17540260183 21895895262 29194527016 35080520366 43791790524 52620780549 70161040732 87583581048 105241561098 140322081464 210483122196 420966244392 543748065673 1087496131346 1631244197019 2174992262692 3262488394038 4349984525384 6524976788076 13049953576152