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10056714256458 = 23213118130776753
BaseRepresentation
bin1001001001011000001011…
…1000011000000001001010
31022121102010201002222210100
42102112002320120001022
52304232122322201313
633215554000230230
72055400516514622
oct222260270300112
938542121088710
1010056714256458
113228035024351
12116508530b376
1357c461c5545c
1426aa67477882
151268e8eac173
hex92582e1804a

10056714256458 has 96 divisors (see below), whose sum is σ = 22149384409152. Its totient is φ = 3297450124800.

The previous prime is 10056714256447. The next prime is 10056714256529. The reversal of 10056714256458 is 85465241765001.

10056714256458 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 71 + 4 + 2 + 564 + 5 + 8 = 666.

It is a super-2 number, since 2×100567142564582 (a number of 27 digits) contains 22 as substring.

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, 130988610 + ... + 131065362.

It is an arithmetic number, because the mean of its divisors is an integer number (230722754262).

Almost surely, 210056714256458 is an apocalyptic number.

10056714256458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10056714256458 is an abundant number, since it is smaller than the sum of its proper divisors (12092670152694).

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

10056714256458 is a wasteful number, since it uses less digits than its factorization.

10056714256458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77380 (or 77377 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 10056714256458 in words is "ten trillion, fifty-six billion, seven hundred fourteen million, two hundred fifty-six thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 131 181 262 307 362 393 543 614 786 921 1086 1179 1629 1842 2358 2763 3258 5526 23711 40217 47422 55567 71133 76753 80434 111134 120651 142266 153506 166701 213399 230259 241302 333402 361953 426798 460518 500103 690777 723906 1000206 1381554 7279277 10054643 13892293 14558554 20109286 21837831 23563171 27784586 30163929 41676879 43675662 47126342 60327858 65513493 70689513 83353758 90491787 125030637 131026986 141379026 180983574 212068539 250061274 424137078 1819890383 3086775401 3639780766 4264933951 5459671149 6173550802 8529867902 9260326203 10919342298 12794801853 16379013447 18520652406 25589603706 27780978609 32758026894 38384405559 55561957218 76768811118 558706347581 1117412695162 1676119042743 3352238085486 5028357128229 10056714256458