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11873946368 = 28314136493
BaseRepresentation
bin10110000111011111…
…00000101100000000
31010122111220222021102
423003233200230000
5143304212240433
65242123513532
7600150610304
oct130357405400
933574828242
1011873946368
115043595719
1223746888a8
131172ccb38b
14808da7d04
154976714e8
hex2c3be0b00

11873946368 has 72 divisors (see below), whose sum is σ = 25063495296. Its totient is φ = 5605171200.

The previous prime is 11873946349. The next prime is 11873946377. The reversal of 11873946368 is 86364937811.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307130 + ... + 343622.

Almost surely, 211873946368 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 11873946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12531747648).

11873946368 is an abundant number, since it is smaller than the sum of its proper divisors (13189548928).

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

11873946368 is an equidigital number, since it uses as much as digits as its factorization.

11873946368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36581 (or 36567 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 56.

The spelling of 11873946368 in words is "eleven billion, eight hundred seventy-three million, nine hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 64 82 124 128 164 248 256 328 496 656 992 1271 1312 1984 2542 2624 3968 5084 5248 7936 10168 10496 20336 36493 40672 72986 81344 145972 162688 291944 325376 583888 1131283 1167776 1496213 2262566 2335552 2992426 4525132 4671104 5984852 9050264 9342208 11969704 18100528 23939408 36201056 46382603 47878816 72402112 92765206 95757632 144804224 185530412 191515264 289608448 371060824 383030528 742121648 1484243296 2968486592 5936973184 11873946368