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11443114848 = 2531123994517
BaseRepresentation
bin10101010100001000…
…00001001101100000
31002112111020110112110
422222010001031200
5141413414133343
65131253355320
7553366604604
oct125204011540
932474213473
1011443114848
114942381610
122274338b40
131104983499
147a7a99504
1546e91c833
hex2aa101360

11443114848 has 96 divisors (see below), whose sum is σ = 32789836800. Its totient is φ = 3465397760.

The previous prime is 11443114829. The next prime is 11443114897. The reversal of 11443114848 is 84841134411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2531086 + ... + 2535602.

It is an arithmetic number, because the mean of its divisors is an integer number (341560800).

Almost surely, 211443114848 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 11443114848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16394918400).

11443114848 is an abundant number, since it is smaller than the sum of its proper divisors (21346721952).

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

11443114848 is a wasteful number, since it uses less digits than its factorization.

11443114848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6940 (or 6932 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The spelling of 11443114848 in words is "eleven billion, four hundred forty-three million, one hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2399 4517 4798 7197 9034 9596 13551 14394 18068 19192 26389 27102 28788 36136 38384 49687 52778 54204 57576 72272 76768 79167 99374 105556 108408 115152 144544 149061 158334 198748 211112 216816 230304 298122 316668 397496 422224 433632 596244 633336 794992 844448 1192488 1266672 1589984 2384976 2533344 4769952 10836283 21672566 32508849 43345132 65017698 86690264 119199113 130035396 173380528 238398226 260070792 346761056 357597339 476796452 520141584 715194678 953592904 1040283168 1430389356 1907185808 2860778712 3814371616 5721557424 11443114848