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7900961856 = 263532772803
BaseRepresentation
bin1110101101110111…
…10001110001000000
3202101122001110002220
413112323301301000
5112140121234411
63344001011040
7366536032134
oct72673616100
922348043086
107900961856
113394983647
121646023a80
1398bb78378
1454d4873c4
15313985b06
hex1d6ef1c40

7900961856 has 112 divisors (see below), whose sum is σ = 21383573184. Its totient is φ = 2573715456.

The previous prime is 7900961821. The next prime is 7900961879. The reversal of 7900961856 is 6581690097.

It is a junction number, because it is equal to n+sod(n) for n = 7900961799 and 7900961808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2817351 + ... + 2820153.

Almost surely, 27900961856 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 7900961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10691786592).

7900961856 is an abundant number, since it is smaller than the sum of its proper divisors (13482611328).

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

7900961856 is a wasteful number, since it uses less digits than its factorization.

7900961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 7900961856 is about 88887.3548712076. The cubic root of 7900961856 is about 1991.7125276680.

The spelling of 7900961856 in words is "seven billion, nine hundred million, nine hundred sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 277 318 424 554 636 831 848 1108 1272 1662 1696 2216 2544 2803 3324 3392 4432 5088 5606 6648 8409 8864 10176 11212 13296 14681 16818 17728 22424 26592 29362 33636 44043 44848 53184 58724 67272 88086 89696 117448 134544 148559 176172 179392 234896 269088 297118 352344 445677 469792 538176 594236 704688 776431 891354 939584 1188472 1409376 1552862 1782708 2329293 2376944 2818752 3105724 3565416 4658586 4753888 6211448 7130832 9317172 9507776 12422896 14261664 18634344 24845792 28523328 37268688 41150843 49691584 74537376 82301686 123452529 149074752 164603372 246905058 329206744 493810116 658413488 987620232 1316826976 1975240464 2633653952 3950480928 7900961856