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11572562052 = 22326143112227
BaseRepresentation
bin10101100011100011…
…10100100010000100
31002212111211001201100
422301301310202010
5142200033441202
65152200100100
7556531103652
oct126161644204
932774731640
1011572562052
1149a9456177
1222ab764630
13112573746c
147bad53dd2
1547ae8c41c
hex2b1c74884

11572562052 has 72 divisors (see below), whose sum is σ = 29803842432. Its totient is φ = 3785169600.

The previous prime is 11572561999. The next prime is 11572562063. The reversal of 11572562052 is 25026527511.

11572562052 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 25 + 620 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11572561998 and 11572562016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940363 + ... + 952589.

It is an arithmetic number, because the mean of its divisors is an integer number (413942256).

Almost surely, 211572562052 is an apocalyptic number.

11572562052 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 11572562052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901921216).

11572562052 is an abundant number, since it is smaller than the sum of its proper divisors (18231280380).

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

11572562052 is a wasteful number, since it uses less digits than its factorization.

11572562052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12729 (or 12724 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 11572562052 in words is "eleven billion, five hundred seventy-two million, five hundred sixty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 431 549 732 862 1098 1293 1724 2196 2586 3879 5172 7758 12227 15516 24454 26291 36681 48908 52582 73362 78873 105164 110043 146724 157746 220086 236619 315492 440172 473238 745847 946476 1491694 2237541 2983388 4475082 5269837 6712623 8950164 10539674 13425246 15809511 21079348 26850492 31619022 47428533 63238044 94857066 189714132 321460057 642920114 964380171 1285840228 1928760342 2893140513 3857520684 5786281026 11572562052