Search a number
-
+
56582814998448 = 24323378531163039
BaseRepresentation
bin11001101110110001101101…
…00101101001111110110000
321102100021010122221100012100
430313120312211221332300
524404023101114422243
6320201441504300400
714626654621610064
oct1467306645517660
9242307118840170
1056582814998448
1117035700a57012
12641a166311700
1325759762b45ab
14dd88a11a1aa4
15681caede80d3
hex337636969fb0

56582814998448 has 60 divisors (see below), whose sum is σ = 158353899612480. Its totient is φ = 18860866290048.

The previous prime is 56582814998389. The next prime is 56582814998449. The reversal of 56582814998448 is 84489941828565.

56582814998448 is a `hidden beast` number, since 5 + 6 + 5 + 8 + 2 + 8 + 1 + 499 + 84 + 48 = 666.

It is a super-2 number, since 2×565828149984482 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56582814998449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48069313 + ... + 49232351.

It is an arithmetic number, because the mean of its divisors is an integer number (2639231660208).

Almost surely, 256582814998448 is an apocalyptic number.

It is an amenable number.

56582814998448 is an abundant number, since it is smaller than the sum of its proper divisors (101771084614032).

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

56582814998448 is a wasteful number, since it uses less digits than its factorization.

56582814998448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500906 (or 1500897 counting only the distinct ones).

The product of its digits is 6370099200, while the sum is 81.

The spelling of 56582814998448 in words is "fifty-six trillion, five hundred eighty-two billion, eight hundred fourteen million, nine hundred ninety-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337853 675706 1013559 1163039 1351412 2027118 2326078 2702824 3040677 3489117 4054236 4652156 5405648 6081354 6978234 8108472 9304312 10467351 12162708 13956468 16216944 18608624 20934702 24325416 27912936 41869404 48650832 55825872 83738808 167477616 392936215267 785872430534 1178808645801 1571744861068 2357617291602 3143489722136 3536425937403 4715234583204 6286979444272 7072851874806 9430469166408 14145703749612 18860938332816 28291407499224 56582814998448