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78073301056 = 265326592
BaseRepresentation
bin100100010110110001…
…0000000100001000000
321110112001200121220211
41020231202000201000
52234343231113211
655511045443504
75432505052342
oct1105542004100
9243461617824
1078073301056
1130124385703
121316a710594
137492c1397a
143ac8d21292
15206e289e21
hex122d880840

78073301056 has 63 divisors (see below), whose sum is σ = 158144982541. Its totient is φ = 38241991424.

The previous prime is 78073301039. The next prime is 78073301063. The reversal of 78073301056 is 65010337087.

The square root of 78073301056 is 279416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 56282817600 + 21790483456 = 237240^2 + 147616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118472055 + ... + 118472713.

Almost surely, 278073301056 is an apocalyptic number.

78073301056 is the 279416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78073301056

78073301056 is an abundant number, since it is smaller than the sum of its proper divisors (80071681485).

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

78073301056 is an frugal number, since it uses more digits than its factorization.

78073301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 78073301056 in words is "seventy-eight billion, seventy-three million, three hundred one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 659 848 1318 1696 2636 2809 3392 5272 5618 10544 11236 21088 22472 34927 42176 44944 69854 89888 139708 179776 279416 434281 558832 868562 1117664 1737124 1851131 2235328 3474248 3702262 6948496 7404524 13896992 14809048 23016893 27793984 29618096 46033786 59236192 92067572 118472384 184135144 368270288 736540576 1219895329 1473081152 2439790658 4879581316 9759162632 19518325264 39036650528 78073301056