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81949588130844 = 22337431251505629
BaseRepresentation
bin10010101000100001100000…
…000101110000110000011100
3101202011022012200212120201000
4102220201200011300300130
541220130224030141334
6450143042052150300
723155443121605060
oct2250414005606034
9352138180776630
1081949588130844
1124125697095545
129236467308390
133695a7521a9c5
14163454a13daa0
15971a6bd16299
hex4a8860170c1c

81949588130844 has 96 divisors (see below), whose sum is σ = 243376968038400. Its totient is φ = 23359842728640.

The previous prime is 81949588130831. The next prime is 81949588130881. The reversal of 81949588130844 is 44803188594918.

81949588130844 is a `hidden beast` number, since 8 + 1 + 9 + 4 + 9 + 588 + 1 + 30 + 8 + 4 + 4 = 666.

81949588130844 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125426979 + ... + 126078650.

It is an arithmetic number, because the mean of its divisors is an integer number (2535176750400).

Almost surely, 281949588130844 is an apocalyptic number.

81949588130844 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81949588130844 is an abundant number, since it is smaller than the sum of its proper divisors (161427379907556).

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

81949588130844 is a wasteful number, since it uses less digits than its factorization.

81949588130844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251506080 (or 251506072 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 81949588130844 in words is "eighty-one trillion, nine hundred forty-nine billion, five hundred eighty-eight million, one hundred thirty thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 431 756 862 1293 1724 2586 3017 3879 5172 6034 7758 9051 11637 12068 15516 18102 23274 27153 36204 46548 54306 81459 108612 162918 325836 251505629 503011258 754516887 1006022516 1509033774 1760539403 2263550661 3018067548 3521078806 4527101322 5281618209 6790651983 7042157612 9054202644 10563236418 13581303966 15844854627 21126472836 27162607932 31689709254 47534563881 63379418508 95069127762 108398926099 190138255524 216797852198 325196778297 433595704396 650393556594 758792482693 975590334891 1300787113188 1517584965386 1951180669782 2276377448079 2926771004673 3035169930772 3902361339564 4552754896158 5853542009346 6829132344237 9105509792316 11707084018692 13658264688474 20487397032711 27316529376948 40974794065422 81949588130844