Search a number
-
+
56954994432 = 283749121577
BaseRepresentation
bin110101000010110010…
…000011111100000000
312110000021212111101020
4311002302003330000
51413120434310212
642055331105440
74054253315310
oct650262037400
9173007774336
1056954994432
1122177678336
12b056142280
1354a894894b
142a842d3440
15173526dd8c
hexd42c83f00

56954994432 has 144 divisors (see below), whose sum is σ = 173598980352. Its totient is φ = 16238960640.

The previous prime is 56954994431. The next prime is 56954994443. The reversal of 56954994432 is 23449945965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56954994431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2628828 + ... + 2650404.

Almost surely, 256954994432 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 56954994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86799490176).

56954994432 is an abundant number, since it is smaller than the sum of its proper divisors (116643985920).

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

56954994432 is a wasteful number, since it uses less digits than its factorization.

56954994432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22094 (or 22080 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 60.

The spelling of 56954994432 in words is "fifty-six billion, nine hundred fifty-four million, nine hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 491 672 768 896 982 1344 1473 1792 1964 2688 2946 3437 3928 5376 5892 6874 7856 10311 11784 13748 15712 20622 21577 23568 27496 31424 41244 43154 47136 54992 62848 64731 82488 86308 94272 109984 125696 129462 151039 164976 172616 188544 219968 258924 302078 329952 345232 377088 439936 453117 517848 604156 659904 690464 879872 906234 1035696 1208312 1319808 1380928 1812468 2071392 2416624 2639616 2761856 3624936 4142784 4833248 5523712 7249872 8285568 9666496 10594307 14499744 16571136 19332992 21188614 28999488 31782921 38665984 42377228 57998976 63565842 74160149 84754456 115997952 127131684 148320298 169508912 222480447 254263368 296640596 339017824 444960894 508526736 593281192 678035648 889921788 1017053472 1186562384 1356071296 1779843576 2034106944 2373124768 2712142592 3559687152 4068213888 4746249536 7119374304 8136427776 9492499072 14238748608 18984998144 28477497216 56954994432