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11256084252 = 223273110913219
BaseRepresentation
bin10100111101110101…
…00011011100011100
31002001110022022210100
422132322203130130
5141023024144002
65100532541100
7545636065110
oct123672433434
932043268710
1011256084252
114856847776
122221781790
1310a4cba4aa
1478acd1740
1545d2c611c
hex29eea371c

11256084252 has 144 divisors (see below), whose sum is σ = 33877043200. Its totient is φ = 3083495040.

The previous prime is 11256084233. The next prime is 11256084317. The reversal of 11256084252 is 25248065211.

11256084252 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 608 + 42 + 5 + 2 = 666.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 844899 + ... + 858117.

Almost surely, 211256084252 is an apocalyptic number.

11256084252 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 11256084252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16938521600).

11256084252 is an abundant number, since it is smaller than the sum of its proper divisors (22620958948).

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

11256084252 is a wasteful number, since it uses less digits than its factorization.

11256084252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13376 (or 13371 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11256084252 in words is "eleven billion, two hundred fifty-six million, eighty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 109 124 126 186 217 218 252 279 327 372 434 436 558 651 654 763 868 981 1116 1302 1308 1526 1953 1962 2289 2604 3052 3379 3906 3924 4578 6758 6867 7812 9156 10137 13219 13516 13734 20274 23653 26438 27468 30411 39657 40548 47306 52876 60822 70959 79314 92533 94612 118971 121644 141918 158628 185066 212877 237942 277599 283836 370132 409789 425754 475884 555198 819578 832797 851508 1110396 1229367 1440871 1639156 1665594 2458734 2868523 2881742 3331188 3688101 4322613 4917468 5737046 5763484 7376202 8605569 8645226 10086097 11474092 12967839 14752404 17211138 17290452 20172194 25816707 25935678 30258291 34422276 40344388 44667001 51633414 51871356 60516582 89334002 90774873 103266828 121033164 134001003 178668004 181549746 268002006 312669007 363099492 402003009 536004012 625338014 804006018 938007021 1250676028 1608012036 1876014042 2814021063 3752028084 5628042126 11256084252