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56296154400 = 25352120119531
BaseRepresentation
bin110100011011100000…
…110010010100100000
312101022101010221202120
4310123200302110200
51410243303420100
641510113544240
74032033263013
oct643340622440
9171271127676
1056296154400
1121969791042
12aab1575080
1354022bb085
142a209d137a
1516e74cc0a0
hexd1b832520

56296154400 has 144 divisors (see below), whose sum is σ = 183405948768. Its totient is φ = 14999040000.

The previous prime is 56296154389. The next prime is 56296154471. The reversal of 56296154400 is 445169265.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2872635 + ... + 2892165.

It is an arithmetic number, because the mean of its divisors is an integer number (1273652422).

Almost surely, 256296154400 is an apocalyptic number.

56296154400 is a gapful number since it is divisible by the number (50) 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 56296154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91702974384).

56296154400 is an abundant number, since it is smaller than the sum of its proper divisors (127109794368).

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

56296154400 is a wasteful number, since it uses less digits than its factorization.

56296154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20755 (or 20742 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 56296154400 in words is "fifty-six billion, two hundred ninety-six million, one hundred fifty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 1201 2400 2402 3603 4804 6005 7206 9608 12010 14412 18015 19216 19531 24020 28824 30025 36030 38432 39062 48040 57648 58593 60050 72060 78124 90075 96080 97655 115296 117186 120100 144120 156248 180150 192160 195310 234372 240200 288240 292965 312496 360300 390620 468744 480400 488275 576480 585930 624992 720600 781240 937488 960800 976550 1171860 1441200 1464825 1562480 1874976 1953100 2343720 2882400 2929650 3124960 3906200 4687440 5859300 7812400 9374880 11718600 15624800 23437200 23456731 46874400 46913462 70370193 93826924 117283655 140740386 187653848 234567310 281480772 351850965 375307696 469134620 562961544 586418275 703701930 750615392 938269240 1125923088 1172836550 1407403860 1759254825 1876538480 2251846176 2345673100 2814807720 3518509650 3753076960 4691346200 5629615440 7037019300 9382692400 11259230880 14074038600 18765384800 28148077200 56296154400