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11534053524 = 2237236139739
BaseRepresentation
bin10101011110111101…
…11011000010010100
31002202211100121221120
422233132323002110
5142110204203044
65144302443540
7555552560130
oct125736730224
932684317846
1011534053524
114989744144
12229a8935b0
13111a773756
147b5bac3c0
154778d2519
hex2af7bb094

11534053524 has 96 divisors (see below), whose sum is σ = 32150415360. Its totient is φ = 3146698368.

The previous prime is 11534053477. The next prime is 11534053567. The reversal of 11534053524 is 42535043511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179447 + ... + 1189185.

It is an arithmetic number, because the mean of its divisors is an integer number (334900160).

Almost surely, 211534053524 is an apocalyptic number.

11534053524 is a gapful number since it is divisible by the number (14) 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 11534053524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075207680).

11534053524 is an abundant number, since it is smaller than the sum of its proper divisors (20616361836).

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

11534053524 is a wasteful number, since it uses less digits than its factorization.

11534053524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10389 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 11534053524 in words is "eleven billion, five hundred thirty-four million, fifty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 613 644 966 1226 1839 1932 2452 3678 4291 7356 8582 9739 12873 14099 17164 19478 25746 28198 29217 38956 42297 51492 56396 58434 68173 84594 98693 116868 136346 169188 197386 204519 223997 272692 296079 394772 409038 447994 592158 671991 818076 895988 1184316 1343982 1567979 2687964 3135958 4703937 5970007 6271916 9407874 11940014 17910021 18815748 23880028 35820042 41790049 71640084 83580098 125370147 137310161 167160196 250740294 274620322 411930483 501480588 549240644 823860966 961171127 1647721932 1922342254 2883513381 3844684508 5767026762 11534053524