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11255270292 = 2232747220219
BaseRepresentation
bin10100111101101110…
…11100101110010100
31002001101202222020200
422132313130232110
5141022322122132
65100503300500
7545626135050
oct123667345624
932041688220
1011255270292
114856341182
12222144a730
1310a4a93b66
1478ab5cc60
1545d1b4d7c
hex29eddcb94

11255270292 has 108 divisors (see below), whose sum is σ = 33223401120. Its totient is φ = 3147214752.

The previous prime is 11255270281. The next prime is 11255270311. The reversal of 11255270292 is 29207255211.

11255270292 is a `hidden beast` number, since 1 + 12 + 552 + 7 + 0 + 2 + 92 = 666.

It is a super-2 number, since 2×112552702922 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 546559 + ... + 566777.

Almost surely, 211255270292 is an apocalyptic number.

11255270292 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 11255270292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16611700560).

11255270292 is an abundant number, since it is smaller than the sum of its proper divisors (21968130828).

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

11255270292 is a wasteful number, since it uses less digits than its factorization.

11255270292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20330 (or 20278 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11255270292 in words is "eleven billion, two hundred fifty-five million, two hundred seventy thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2209 2961 3948 4418 5922 6627 8836 11844 13254 15463 19881 20219 26508 30926 39762 40438 46389 60657 61852 79524 80876 92778 121314 139167 141533 181971 185556 242628 278334 283066 363942 424599 556668 566132 727884 849198 950293 1273797 1698396 1900586 2547594 2850879 3801172 5095188 5701758 6652051 8552637 11403516 13304102 17105274 19956153 26608204 34210548 39912306 44663771 59868459 79824612 89327542 119736918 133991313 178655084 239473836 267982626 312646397 401973939 535965252 625292794 803947878 937939191 1250585588 1607895756 1875878382 2813817573 3751756764 5627635146 11255270292