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96631573778496 = 26324095892
BaseRepresentation
bin10101111110001011001010…
…101000010001000001000000
3110200010212222112010000110100
4111332023022220101001000
5100131202430341402441
6541303533202402400
726232254323522401
oct2576131250210100
9420125875100410
1096631573778496
1128876247244219
12aa07a1a660400
1341bc41a4246a3
1419c0dc91cb9a8
15b2892052acb6
hex57e2caa11040

96631573778496 has 63 divisors (see below), whose sum is σ = 276977635101661. Its totient is φ = 32210445951744.

The previous prime is 96631573778473. The next prime is 96631573778501. The reversal of 96631573778496 is 69487737513669.

The square root of 96631573778496 is 9830136.

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

96631573778496 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 1 + 57 + 3 + 7 + 78 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71283168300096 + 25348405478400 = 8442936^2 + 5034720^2 .

It is a super-2 number, since 2×966315737784962 (a number of 29 digits) contains 22 as substring.

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, 235718470 + ... + 236128058.

Almost surely, 296631573778496 is an apocalyptic number.

96631573778496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

96631573778496 is the 9830136-th square number.

It is an amenable number.

96631573778496 is an abundant number, since it is smaller than the sum of its proper divisors (180346061323165).

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

96631573778496 is an frugal number, since it uses more digits than its factorization.

96631573778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819196 (or 409594 counting only the distinct ones).

The product of its digits is 8641624320, while the sum is 81.

The spelling of 96631573778496 in words is "ninety-six trillion, six hundred thirty-one billion, five hundred seventy-three million, seven hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 409589 819178 1228767 1638356 2457534 3276712 3686301 4915068 6553424 7372602 9830136 13106848 14745204 19660272 26213696 29490408 39320544 58980816 78641088 117961632 235923264 167763148921 335526297842 503289446763 671052595684 1006578893526 1342105191368 1509868340289 2013157787052 2684210382736 3019736680578 4026315574104 5368420765472 6039473361156 8052631148208 10736841530944 12078946722312 16105262296416 24157893444624 32210524592832 48315786889248 96631573778496