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11140863968 = 251331071481
BaseRepresentation
bin10100110000000110…
…00001011111100000
31001202102111112021102
422120003001133200
5140304030121333
65041255213532
7543036531653
oct123003013740
931672445242
1011140863968
1147a77aaaa3
1221ab0772a8
131087178000
1477989b89a
15453116ae8
hex2980c17e0

11140863968 has 96 divisors (see below), whose sum is σ = 23998796640. Its totient is φ = 5090442240.

The previous prime is 11140863931. The next prime is 11140863971. The reversal of 11140863968 is 86936804111.

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 15 ways as a sum of consecutive naturals, for example, 7521788 + ... + 7523268.

It is an arithmetic number, because the mean of its divisors is an integer number (249987465).

Almost surely, 211140863968 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 11140863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11999398320).

11140863968 is an abundant number, since it is smaller than the sum of its proper divisors (12857932672).

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

11140863968 is a wasteful number, since it uses less digits than its factorization.

11140863968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 47.

The spelling of 11140863968 in words is "eleven billion, one hundred forty million, eight hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 107 169 208 214 338 416 428 676 856 1352 1391 1481 1712 2197 2704 2782 2962 3424 4394 5408 5564 5924 8788 11128 11848 17576 18083 19253 22256 23696 35152 36166 38506 44512 47392 70304 72332 77012 144664 154024 158467 235079 250289 289328 308048 316934 470158 500578 578656 616096 633868 940316 1001156 1267736 1880632 2002312 2060071 2535472 3253757 3761264 4004624 4120142 5070944 6507514 7522528 8009248 8240284 13015028 16480568 26030056 26780923 32961136 52060112 53561846 65922272 104120224 107123692 214247384 348151999 428494768 696303998 856989536 1392607996 2785215992 5570431984 11140863968