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49955587234464 = 2536134132499463
BaseRepresentation
bin10110101101111001100010…
…00010000001101010100000
320112212201002202201000022210
423112330301002001222200
523021433020313000324
6254125140245402120
713344113010223512
oct1326746102015240
9215781082630283
1049955587234464
1114a10055721a8a
125729889109340
1321b4a3a38b162
14c49c12d5bbb2
155b96d5a6bd29
hex2d6f31081aa0

49955587234464 has 96 divisors (see below), whose sum is σ = 133322249579904. Its totient is φ = 16374075540480.

The previous prime is 49955587234447. The next prime is 49955587234493. The reversal of 49955587234464 is 46443278555994.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18736797 + ... + 21236259.

It is an arithmetic number, because the mean of its divisors is an integer number (1388773433124).

Almost surely, 249955587234464 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 49955587234464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66661124789952).

49955587234464 is an abundant number, since it is smaller than the sum of its proper divisors (83366662345440).

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

49955587234464 is a wasteful number, since it uses less digits than its factorization.

49955587234464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502950 (or 2502942 counting only the distinct ones).

The product of its digits is 5225472000, while the sum is 75.

The spelling of 49955587234464 in words is "forty-nine trillion, nine hundred fifty-five billion, five hundred eighty-seven million, two hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 3413 5856 6826 10239 13652 20478 27304 40956 54608 81912 109216 163824 208193 327648 416386 624579 832772 1249158 1665544 2498316 2499463 3331088 4996632 4998926 6662176 7498389 9993264 9997852 14996778 19986528 19995704 29993556 39991408 59987112 79982816 119974224 152467243 239948448 304934486 457401729 609868972 914803458 1219737944 1829606916 2439475888 3659213832 4878951776 7318427664 8530667219 14636855328 17061334438 25592001657 34122668876 51184003314 68245337752 102368006628 136490675504 204736013256 272981351008 409472026512 520370700359 818944053024 1040741400718 1561112101077 2081482801436 3122224202154 4162965602872 6244448404308 8325931205744 12488896808616 16651862411488 24977793617232 49955587234464