Search a number
-
+
16556242105008 = 2432314318605187
BaseRepresentation
bin1111000011101100110011…
…1011011111001010110000
32011121202112222102110220100
43300323030323133022300
54132224140434330013
655113455502512400
73326102053626564
oct360731473371260
964552488373810
1016556242105008
115303510058891
121a34863b95700
1393132967b858
1441347d8a36a4
151da9ec3b1473
hexf0eccedf2b0

16556242105008 has 120 divisors (see below), whose sum is σ = 47940121921536. Its totient is φ = 5328331171200.

The previous prime is 16556242104971. The next prime is 16556242105019. The reversal of 16556242105008 is 80050124265561.

16556242105008 is a `hidden beast` number, since 1 + 6 + 5 + 5 + 624 + 2 + 10 + 5 + 0 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378610 + ... + 6226577.

Almost surely, 216556242105008 is an apocalyptic number.

16556242105008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16556242105008 is an abundant number, since it is smaller than the sum of its proper divisors (31383879816528).

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

16556242105008 is a wasteful number, since it uses less digits than its factorization.

16556242105008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8605663 (or 8605654 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 16556242105008 in words is "sixteen trillion, five hundred fifty-six billion, two hundred forty-two million, one hundred five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 431 496 558 744 862 1116 1293 1488 1724 2232 2586 3448 3879 4464 5172 6896 7758 10344 13361 15516 20688 26722 31032 40083 53444 62064 80166 106888 120249 160332 213776 240498 320664 480996 641328 961992 1923984 8605187 17210374 25815561 34420748 51631122 68841496 77446683 103262244 137682992 154893366 206524488 266760797 309786732 413048976 533521594 619573464 800282391 1067043188 1239146928 1600564782 2134086376 2400847173 3201129564 3708835597 4268172752 4801694346 6402259128 7417671194 9603388692 11126506791 12804518256 14835342388 19206777384 22253013582 29670684776 33379520373 38413554768 44506027164 59341369552 66759040746 89012054328 114973903507 133518081492 178024108656 229947807014 267036162984 344921710521 459895614028 534072325968 689843421042 919791228056 1034765131563 1379686842084 1839582456112 2069530263126 2759373684168 4139060526252 5518747368336 8278121052504 16556242105008