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56780066336 = 257319272269
BaseRepresentation
bin110100111000010110…
…110000111000100000
312102120002201020010212
4310320112300320200
51412241144110321
642030121513252
74050030413000
oct647026607040
9172502636125
1056780066336
112209795a264
12b007642828
13547b62c4b6
142a68d9a000
151724c1855b
hexd385b0e20

56780066336 has 96 divisors (see below), whose sum is σ = 137224080000. Its totient is φ = 23053476096.

The previous prime is 56780066327. The next prime is 56780066389. The reversal of 56780066336 is 63366008765.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72410 + ... + 344678.

It is an arithmetic number, because the mean of its divisors is an integer number (1429417500).

Almost surely, 256780066336 is an apocalyptic number.

56780066336 is a gapful number since it is divisible by the number (56) 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 56780066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68612040000).

56780066336 is an abundant number, since it is smaller than the sum of its proper divisors (80444013664).

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

56780066336 is a wasteful number, since it uses less digits than its factorization.

56780066336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272319 (or 272297 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 50.

The spelling of 56780066336 in words is "fifty-six billion, seven hundred eighty million, sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 343 392 532 608 686 784 931 1064 1372 1568 1862 2128 2744 3724 4256 5488 6517 7448 10976 13034 14896 26068 29792 52136 104272 208544 272269 544538 1089076 1905883 2178152 3811766 4356304 5173111 7623532 8712608 10346222 13341181 15247064 20692444 26682362 30494128 36211777 41384888 53364724 60988256 72423554 82769776 93388267 106729448 144847108 165539552 186776534 213458896 253482439 289694216 373553068 426917792 506964878 579388432 747106136 1013929756 1158776864 1494212272 1774377073 2027859512 2988424544 3548754146 4055719024 7097508292 8111438048 14195016584 28390033168 56780066336