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11163279372 = 223732993523
BaseRepresentation
bin10100110010110001…
…00010000000001100
31001210222200100102120
422121120202000030
5140330244414442
65043415452540
7543431211000
oct123130420014
931728610376
1011163279372
114809420023
1221b6687150
13108b9c596b
1477c854700
154550934ec
hex29962200c

11163279372 has 96 divisors (see below), whose sum is σ = 31424064000. Its totient is φ = 3079492416.

The previous prime is 11163279371. The next prime is 11163279409. The reversal of 11163279372 is 27397236111.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (11163279371) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 72603 + ... + 166125.

It is an arithmetic number, because the mean of its divisors is an integer number (327334000).

Almost surely, 211163279372 is an apocalyptic number.

11163279372 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 11163279372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712032000).

11163279372 is an abundant number, since it is smaller than the sum of its proper divisors (20260784628).

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

11163279372 is a wasteful number, since it uses less digits than its factorization.

11163279372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93580 (or 93564 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The spelling of 11163279372 in words is "eleven billion, one hundred sixty-three million, two hundred seventy-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 343 348 406 588 609 686 812 1029 1218 1372 1421 2058 2436 2842 4116 4263 5684 8526 9947 17052 19894 29841 39788 59682 93523 119364 187046 280569 374092 561138 654661 1122276 1309322 1963983 2618644 2712167 3927966 4582627 5424334 7855932 8136501 9165254 10848668 13747881 16273002 18330508 18985169 27495762 32078389 32546004 37970338 54991524 56955507 64156778 75940676 96235167 113911014 128313556 132896183 192470334 227822028 265792366 384940668 398688549 531584732 797377098 930273281 1594754196 1860546562 2790819843 3721093124 5581639686 11163279372