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51051601551264 = 253898117367621
BaseRepresentation
bin10111001101110011000001…
…00100110101111110100000
320200202111002220000002120020
423212321200210311332200
523142412134444120024
6300324440524113440
713516233164213436
oct1346714044657640
9220674086002506
1051051601551264
11152a2954188216
125886186095880
1322641b74b83b2
14c86ca6d5ad56
155d7e81674979
hex2e6e60935fa0

51051601551264 has 96 divisors (see below), whose sum is σ = 135683305571520. Its totient is φ = 16805246515200.

The previous prime is 51051601551259. The next prime is 51051601551317. The reversal of 51051601551264 is 46215510615015.

51051601551264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3245374 + ... + 10612994.

It is an arithmetic number, because the mean of its divisors is an integer number (1413367766370).

Almost surely, 251051601551264 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 51051601551264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67841652785760).

51051601551264 is an abundant number, since it is smaller than the sum of its proper divisors (84631704020256).

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

51051601551264 is a wasteful number, since it uses less digits than its factorization.

51051601551264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368534 (or 7368526 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 42.

The spelling of 51051601551264 in words is "fifty-one trillion, fifty-one billion, six hundred one million, five hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 811 1068 1424 1622 2136 2433 2848 3244 4272 4866 6488 8544 9732 12976 19464 25952 38928 72179 77856 144358 216537 288716 433074 577432 866148 1154864 1732296 2309728 3464592 6929184 7367621 14735242 22102863 29470484 44205726 58940968 88411452 117881936 176822904 235763872 353645808 655718269 707291616 1311436538 1967154807 2622873076 3934309614 5245746152 5975140631 7868619228 10491492304 11950281262 15737238456 17925421893 20982984608 23900562524 31474476912 35850843786 47801125048 62948953824 71701687572 95602250096 143403375144 191204500192 286806750288 531787516159 573613500576 1063575032318 1595362548477 2127150064636 3190725096954 4254300129272 6381450193908 8508600258544 12762900387816 17017200517088 25525800775632 51051601551264