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56093066496 = 2832101241049
BaseRepresentation
bin110100001111011010…
…000100010100000000
312100210020000000112100
4310033122010110000
51404334311111441
641434021030400
74024016125005
oct641732042400
9170706000470
1056093066496
112187508a0a5
12aa55555400
13539c1c240c
142a01a478ac
1516d4762cb6
hexd0f684500

56093066496 has 108 divisors (see below), whose sum is σ = 163332105300. Its totient is φ = 18512486400.

The previous prime is 56093066479. The next prime is 56093066527. The reversal of 56093066496 is 69466039065.

It is a happy number.

56093066496 is a `hidden beast` number, since 5 + 6 + 0 + 93 + 0 + 66 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25933881600 + 30159184896 = 161040^2 + 173664^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112180 + ... + 353228.

Almost surely, 256093066496 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 56093066496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81666052650).

56093066496 is an abundant number, since it is smaller than the sum of its proper divisors (107239038804).

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

56093066496 is a wasteful number, since it uses less digits than its factorization.

56093066496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241172 (or 241155 counting only the distinct ones).

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

The spelling of 56093066496 in words is "fifty-six billion, ninety-three million, sixty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 101 128 144 192 202 256 288 303 384 404 576 606 768 808 909 1152 1212 1616 1818 2304 2424 3232 3636 4848 6464 7272 9696 12928 14544 19392 25856 29088 38784 58176 77568 116352 232704 241049 482098 723147 964196 1446294 1928392 2169441 2892588 3856784 4338882 5785176 7713568 8677764 11570352 15427136 17355528 23140704 24345949 30854272 34711056 46281408 48691898 61708544 69422112 73037847 92562816 97383796 138844224 146075694 185125632 194767592 219113541 277688448 292151388 389535184 438227082 555376896 584302776 779070368 876454164 1168605552 1558140736 1752908328 2337211104 3116281472 3505816656 4674422208 6232562944 7011633312 9348844416 14023266624 18697688832 28046533248 56093066496