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56826232080 = 24351943928387
BaseRepresentation
bin110100111011000110…
…110111110100010000
312102200022120200122020
4310323012313310100
51412340003411310
642034451211440
74051131001002
oct647306676420
9172608520566
1056826232080
1122110a21272
12b01aba6b80
1354880745c7
142a71176372
151728cd7170
hexd3b1b7d10

56826232080 has 160 divisors (see below), whose sum is σ = 185861913600. Its totient is φ = 14322894336.

The previous prime is 56826232063. The next prime is 56826232087. The reversal of 56826232080 is 8023262865.

It is a super-2 number, since 2×568262320802 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56826232087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1987647 + ... + 2016033.

It is an arithmetic number, because the mean of its divisors is an integer number (1161636960).

Almost surely, 256826232080 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 56826232080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92930956800).

56826232080 is an abundant number, since it is smaller than the sum of its proper divisors (129035681520).

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

56826232080 is a wasteful number, since it uses less digits than its factorization.

56826232080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28861 (or 28855 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 56826232080 in words is "fifty-six billion, eight hundred twenty-six million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 439 456 570 760 878 912 1140 1317 1520 1756 2195 2280 2634 3512 4390 4560 5268 6585 7024 8341 8780 10536 13170 16682 17560 21072 25023 26340 28387 33364 35120 41705 50046 52680 56774 66728 83410 85161 100092 105360 113548 125115 133456 141935 166820 170322 200184 227096 250230 283870 333640 340644 400368 425805 454192 500460 539353 567740 667280 681288 851610 1000920 1078706 1135480 1362576 1618059 1703220 2001840 2157412 2270960 2696765 3236118 3406440 4314824 5393530 6472236 6812880 8090295 8629648 10787060 12461893 12944472 16180590 21574120 24923786 25888944 32361180 37385679 43148240 49847572 62309465 64722360 74771358 99695144 124618930 129444720 149542716 186928395 199390288 236775967 249237860 299085432 373856790 473551934 498475720 598170864 710327901 747713580 947103868 996951440 1183879835 1420655802 1495427160 1894207736 2367759670 2841311604 2990854320 3551639505 3788415472 4735519340 5682623208 7103279010 9471038680 11365246416 14206558020 18942077360 28413116040 56826232080