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56479693104 = 24323137341953
BaseRepresentation
bin110100100110011100…
…111011100100110000
312101210011111200112100
4310212130323210300
51411132300134404
641540231500400
74036422320202
oct644634734460
9171704450470
1056479693104
1121a5335041a
12ab42b27700
135431330863
142a3b12a772
151708683d39
hexd2673b930

56479693104 has 120 divisors (see below), whose sum is σ = 167573873792. Its totient is φ = 17726791680.

The previous prime is 56479693103. The next prime is 56479693129. The reversal of 56479693104 is 40139697465.

56479693104 is a `hidden beast` number, since 5 + 6 + 479 + 69 + 3 + 104 = 666.

56479693104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56479693103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5809 + ... + 336144.

Almost surely, 256479693104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56479693104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83786936896).

56479693104 is an abundant number, since it is smaller than the sum of its proper divisors (111094180688).

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

56479693104 is a wasteful number, since it uses less digits than its factorization.

56479693104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342035 (or 342026 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 56479693104 in words is "fifty-six billion, four hundred seventy-nine million, six hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 37 48 62 72 74 93 111 124 144 148 186 222 248 279 296 333 372 444 496 558 592 666 744 888 1116 1147 1332 1488 1776 2232 2294 2664 3441 4464 4588 5328 6882 9176 10323 13764 18352 20646 27528 41292 55056 82584 165168 341953 683906 1025859 1367812 2051718 2735624 3077577 4103436 5471248 6155154 8206872 10600543 12310308 12652261 16413744 21201086 24620616 25304522 31801629 37956783 42402172 49241232 50609044 63603258 75913566 84804344 95404887 101218088 113870349 127206516 151827132 169608688 190809774 202436176 227740698 254413032 303654264 381619548 392220091 455481396 508826064 607308528 763239096 784440182 910962792 1176660273 1526478192 1568880364 1821925584 2353320546 3137760728 3529980819 4706641092 6275521456 7059961638 9413282184 14119923276 18826564368 28239846552 56479693104