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56929342932 = 223271137695449
BaseRepresentation
bin110101000001010000…
…001101010111010100
312102221111121021010200
4311001100031113110
51413042402433212
642053013220500
74053522300510
oct650120152724
9172844537120
1056929342932
1122164147a50
12b049631730
1354a3537047
142a80b37140
151732da36dc
hexd4140d5d4

56929342932 has 144 divisors (see below), whose sum is σ = 179494224000. Its totient is φ = 14780206080.

The previous prime is 56929342931. The next prime is 56929342957. The reversal of 56929342932 is 23924392965.

56929342932 is a `hidden beast` number, since 5 + 69 + 293 + 4 + 293 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56929342931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10444944 + ... + 10450392.

Almost surely, 256929342932 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 56929342932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89747112000).

56929342932 is an abundant number, since it is smaller than the sum of its proper divisors (122564881068).

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

56929342932 is a wasteful number, since it uses less digits than its factorization.

56929342932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9246 (or 9241 counting only the distinct ones).

The product of its digits is 6298560, while the sum is 54.

The spelling of 56929342932 in words is "fifty-six billion, nine hundred twenty-nine million, three hundred forty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3769 5449 7538 10898 11307 15076 16347 21796 22614 26383 32694 33921 38143 41459 45228 49041 52766 59939 65388 67842 76286 79149 82918 98082 105532 114429 119878 124377 135684 152572 158298 165836 179817 196164 228858 237447 239756 248754 290213 316596 343287 359634 373131 419573 457716 474894 497508 539451 580426 686574 719268 746262 839146 870639 949788 1078902 1160852 1258719 1373148 1492524 1678292 1741278 2157804 2517438 2611917 3482556 3776157 5034876 5223834 7552314 10447668 15104628 20537281 41074562 61611843 82149124 123223686 143760967 184835529 225910091 246447372 287521934 369671058 431282901 451820182 575043868 677730273 739342116 862565802 903640364 1293848703 1355460546 1581370637 1725131604 2033190819 2587697406 2710921092 3162741274 4066381638 4744111911 5175394812 6325482548 8132763276 9488223822 14232335733 18976447644 28464671466 56929342932