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92518120025956 = 22172101228012
BaseRepresentation
bin10101000010010100001101…
…101011011110111101100100
3110010120122102212011112100101
4111002110031223132331210
544111304102211312311
6524434123152553444
725326133155524362
oct2502241553367544
9403518385145311
1092518120025956
112752a7948a30a9
12a46276b252884
133c81562735b01
1418bbc88108632
15aa691e153ec1
hex54250dadef64

92518120025956 has 81 divisors (see below), whose sum is σ = 173772644538241. Its totient is φ = 43091480320000.

The previous prime is 92518120025951. The next prime is 92518120025963. The reversal of 92518120025956 is 65952002181529.

The square root of 92518120025956 is 9618634.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1044504440100 + 91473615585856 = 1022010^2 + 9564184^2 .

It is a super-2 number, since 2×925181200259562 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 92518120025897 and 92518120025906.

It is not an unprimeable number, because it can be changed into a prime (92518120025951) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33030387756 + ... + 33030390556.

Almost surely, 292518120025956 is an apocalyptic number.

92518120025956 is the 9618634-th square number.

It is an amenable number.

92518120025956 is a deficient number, since it is larger than the sum of its proper divisors (81254524512285).

92518120025956 is an equidigital number, since it uses as much as digits as its factorization.

92518120025956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 92518120025956 in words is "ninety-two trillion, five hundred eighteen billion, one hundred twenty million, twenty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 17 34 68 101 202 289 404 578 1156 1717 2801 3434 5602 6868 10201 11204 20402 29189 40804 47617 58378 95234 116756 173417 190468 282901 346834 565802 693668 809489 1131604 1618978 2948089 3237956 4809317 5896178 7845601 9618634 11792356 15691202 19237268 28573001 31382404 57146002 81758389 114292004 133375217 163516778 266750434 327033556 485741017 533500868 792405701 971482034 1584811402 1942964068 2267378689 3169622804 4534757378 8257597289 9069514756 13470896917 16515194578 26941793834 33030389156 53883587668 80032975801 160065951602 229005247589 320131903204 458010495178 916020990356 1360560588617 2721121177234 5442242354468 23129530006489 46259060012978 92518120025956