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53681076834 = 237111767102013
BaseRepresentation
bin110001111111101001…
…000011101001100010
312010120010102020201220
4301333221003221202
51334414323424314
640354415435510
73610160424120
oct617751035142
9163503366656
1053681076834
1120847628610
12a4a1825b96
1350a65993b8
142853586910
1515e2b1e3a9
hexc7fa43a62

53681076834 has 128 divisors (see below), whose sum is σ = 143844636672. Its totient is φ = 12926960640.

The previous prime is 53681076829. The next prime is 53681076853. The reversal of 53681076834 is 43867018635.

It is a super-2 number, since 2×536810768342 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 63 ways as a sum of consecutive naturals, for example, 475212 + ... + 577224.

It is an arithmetic number, because the mean of its divisors is an integer number (1123786224).

Almost surely, 253681076834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53681076834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71922318336).

53681076834 is an abundant number, since it is smaller than the sum of its proper divisors (90163559838).

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

53681076834 is a wasteful number, since it uses less digits than its factorization.

53681076834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102120.

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 53681076834 in words is "fifty-three billion, six hundred eighty-one million, seventy-six thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 67 77 102 119 134 154 187 201 231 238 357 374 402 462 469 561 714 737 938 1122 1139 1309 1407 1474 2211 2278 2618 2814 3417 3927 4422 5159 6834 7854 7973 10318 12529 15477 15946 23919 25058 30954 37587 47838 75174 87703 102013 175406 204026 263109 306039 526218 612078 714091 1122143 1428182 1734221 2142273 2244286 3366429 3468442 4284546 5202663 6732858 6834871 7855001 10405326 12139547 13669742 15710002 19076431 20504613 23565003 24279094 36418641 38152862 41009226 47130006 47844097 57229293 72837282 75183581 95688194 114458586 116192807 133535017 143532291 150367162 225550743 232385614 267070034 287064582 348578421 400605051 451101486 526285067 697156842 801210102 813349649 1052570134 1278120877 1578855201 1626699298 2440048947 2556241754 3157710402 3834362631 4880097894 7668725262 8946846139 17893692278 26840538417 53681076834