Search a number
-
+
56294792112 = 24313294636719
BaseRepresentation
bin110100011011011011…
…100101101110110000
312101022021120202001110
4310123123211232300
51410242431321422
641510024433320
74032015560226
oct643333455660
9171267522043
1056294792112
1121968a40589
12aab1018840
135401c31ca0
142a20758b16
1516e730d60c
hexd1b6e5bb0

56294792112 has 160 divisors (see below), whose sum is σ = 162389606400. Its totient is φ = 16685577216.

The previous prime is 56294792107. The next prime is 56294792167. The reversal of 56294792112 is 21129749265.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8375089 + ... + 8381807.

It is an arithmetic number, because the mean of its divisors is an integer number (1014935040).

Almost surely, 256294792112 is an apocalyptic number.

56294792112 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56294792112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81194803200).

56294792112 is an abundant number, since it is smaller than the sum of its proper divisors (106094814288).

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

56294792112 is a wasteful number, since it uses less digits than its factorization.

56294792112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7229 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The spelling of 56294792112 in words is "fifty-six billion, two hundred ninety-four million, seven hundred ninety-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 463 464 624 696 754 926 1131 1389 1392 1508 1852 2262 2778 3016 3704 4524 5556 6019 6032 6719 7408 9048 11112 12038 13427 13438 18057 18096 20157 22224 24076 26854 26876 36114 40281 40314 48152 53708 53752 72228 80562 80628 87347 96304 107416 107504 144456 161124 161256 174551 174694 194851 214832 262041 288912 322248 322512 349102 349388 389702 523653 524082 584553 644496 698204 698776 779404 1047306 1048164 1169106 1396408 1397552 1558808 2094612 2096328 2338212 2533063 2792816 3110897 3117616 4189224 4192656 4676424 5066126 6221794 7599189 8378448 9332691 9352848 10132252 12443588 15198378 18665382 20264504 24887176 30396756 37330764 40441661 40529008 49774352 60793512 74661528 80883322 90216013 121324983 121587024 149323056 161766644 180432026 242649966 270648039 323533288 360864052 485299932 541296078 647066576 721728104 970599864 1082592156 1172808169 1443456208 1941199728 2165184312 2345616338 3518424507 4330368624 4691232676 7036849014 9382465352 14073698028 18764930704 28147396056 56294792112