Search a number
-
+
81792887564130 = 23543220351287747
BaseRepresentation
bin10010100110001111100100…
…000000100010011101100010
3101201121022201222010000021220
4102212033210000202131202
541210043313204023010
6445543044523155510
723141225001013641
oct2246174400423542
9351538658100256
1081792887564130
112407519476a456
129210014675b96
1336840616c5492
14162ab228d9358
1596c949d68970
hex4a63e4022762

81792887564130 has 64 divisors (see below), whose sum is σ = 200869724233728. Its totient is φ = 21304023249600.

The previous prime is 81792887564053. The next prime is 81792887564131. The reversal of 81792887564130 is 3146578829718.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (81792887564131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 284108917 + ... + 284396663.

It is an arithmetic number, because the mean of its divisors is an integer number (3138589441152).

It is a 1-persistent number, because it is pandigital, but 2⋅81792887564130 = 163585775128260 is not.

Almost surely, 281792887564130 is an apocalyptic number.

81792887564130 is an abundant number, since it is smaller than the sum of its proper divisors (119076836669598).

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

81792887564130 is a wasteful number, since it uses less digits than its factorization.

81792887564130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508151.

The product of its (nonzero) digits is 162570240, while the sum is 69.

The spelling of 81792887564130 in words is "eighty-one trillion, seven hundred ninety-two billion, eight hundred eighty-seven million, five hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 220351 287747 440702 575494 661053 863241 1101755 1322106 1438735 1726482 2203510 2877470 3305265 4316205 6610530 8632410 9475093 12373121 18950186 24746242 28425279 37119363 47375465 56850558 61865605 74238726 94750930 123731210 142126395 185596815 284252790 371193630 63405339197 126810678394 190216017591 317026695985 380432035182 634053391970 951080087955 1902160175910 2726429585471 5452859170942 8179288756413 13632147927355 16358577512826 27264295854710 40896443782065 81792887564130