Search a number
-
+
87137005040778 = 237211254910570433
BaseRepresentation
bin10011110100000000101010…
…001110110111010010001010
3102102112012211200222012001210
4103310000222032313102022
542410123041242301103
6505154104255353550
724232304134040400
oct2364005216672212
9372465750865053
1087137005040778
1125845661763410
12993389a8228b6
133980ca47117c4
14177364c765470
15a11977e5de03
hex4f402a3b748a

87137005040778 has 96 divisors (see below), whose sum is σ = 221243411793600. Its totient is φ = 22624107018240.

The previous prime is 87137005040699. The next prime is 87137005040791. The reversal of 87137005040778 is 87704050073178.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2958250 + ... + 13528682.

It is an arithmetic number, because the mean of its divisors is an integer number (2304618872850).

Almost surely, 287137005040778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87137005040778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110621705896800).

87137005040778 is an abundant number, since it is smaller than the sum of its proper divisors (134106406752822).

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

87137005040778 is a wasteful number, since it uses less digits than its factorization.

87137005040778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10573012 (or 10573005 counting only the distinct ones).

The product of its (nonzero) digits is 9219840, while the sum is 57.

The spelling of 87137005040778 in words is "eighty-seven trillion, one hundred thirty-seven billion, five million, forty thousand, seven hundred seventy-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 2549 3234 5098 7647 15294 17843 28039 35686 53529 56078 84117 107058 124901 168234 196273 249802 374703 392546 588819 749406 1177638 1373911 2747822 4121733 8243466 10570433 21140866 31711299 63422598 73993031 116274763 147986062 221979093 232549526 348824289 443958186 517951217 697648578 813923341 1035902434 1553853651 1627846682 2441770023 3107707302 4883540046 5697463387 11394926774 17092390161 26944033717 34184780322 53888067434 80832101151 161664202302 188608236019 296384370887 377216472038 565824708057 592768741774 889153112661 1131649416114 1320257652133 1778306225322 2074690596209 2640515304266 3960772956399 4149381192418 6224071788627 7921545912798 12448143577254 14522834173463 29045668346926 43568502520389 87137005040778