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11891108352 = 29319433941
BaseRepresentation
bin10110001001100001…
…11110101000000000
31010200201012220002110
423010300332220000
5143323110431402
65243535415320
7600446516244
oct130460765000
933621186073
1011891108352
115052247782
12237a384540
131176729ab6
1480b394424
15498e1156c
hex2c4c3ea00

11891108352 has 160 divisors (see below), whose sum is σ = 33458483520. Its totient is φ = 3742433280.

The previous prime is 11891108347. The next prime is 11891108357. The reversal of 11891108352 is 25380119811.

It is an interprime number because it is at equal distance from previous prime (11891108347) and next prime (11891108357).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11891108352.

It is not an unprimeable number, because it can be changed into a prime (11891108357) by changing a digit.

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, 12636202 + ... + 12637142.

It is an arithmetic number, because the mean of its divisors is an integer number (209115522).

Almost surely, 211891108352 is an apocalyptic number.

11891108352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11891108352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729241760).

11891108352 is an abundant number, since it is smaller than the sum of its proper divisors (21567375168).

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

11891108352 is an equidigital number, since it uses as much as digits as its factorization.

11891108352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 39.

The spelling of 11891108352 in words is "eleven billion, eight hundred ninety-one million, one hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 433 456 512 608 768 866 912 941 1216 1299 1536 1732 1824 1882 2432 2598 2823 3464 3648 3764 4864 5196 5646 6928 7296 7528 8227 9728 10392 11292 13856 14592 15056 16454 17879 20784 22584 24681 27712 29184 30112 32908 35758 41568 45168 49362 53637 55424 60224 65816 71516 83136 90336 98724 107274 110848 120448 131632 143032 166272 180672 197448 214548 221696 240896 263264 286064 332544 361344 394896 407453 429096 481792 526528 572128 665088 722688 789792 814906 858192 1053056 1144256 1222359 1445376 1579584 1629812 1716384 2106112 2288512 2444718 3159168 3259624 3432768 4212224 4577024 4889436 6318336 6519248 6865536 7741607 9154048 9778872 12636672 13038496 13731072 15483214 19557744 23224821 26076992 27462144 30966428 39115488 46449642 52153984 61932856 78230976 92899284 104307968 123865712 156461952 185798568 208615936 247731424 312923904 371597136 495462848 625847808 743194272 990925696 1486388544 1981851392 2972777088 3963702784 5945554176 11891108352