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21023579556 = 22327255721397
BaseRepresentation
bin10011100101000110…
…100101110110100100
32000021011120111102200
4103211012211312210
5321024014021211
613354052134500
71342661322600
oct234506456644
960234514380
1021023579556
118a09298541
1240a8907430
131ca077c605
141036210500
15830a58b56
hex4e51a5da4

21023579556 has 108 divisors (see below), whose sum is σ = 61933215708. Its totient is φ = 5995672704.

The previous prime is 21023579543. The next prime is 21023579581. The reversal of 21023579556 is 65597532012.

21023579556 is a `hidden beast` number, since 2 + 1 + 0 + 23 + 5 + 79 + 556 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12368998656 + 8654580900 = 111216^2 + 93030^2 .

It is a super-2 number, since 2×210235795562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 971850 + ... + 993246.

It is an arithmetic number, because the mean of its divisors is an integer number (573455701).

Almost surely, 221023579556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21023579556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30966607854).

21023579556 is an abundant number, since it is smaller than the sum of its proper divisors (40909636152).

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

21023579556 is a wasteful number, since it uses less digits than its factorization.

21023579556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21978 (or 21966 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 21023579556 in words is "twenty-one billion, twenty-three million, five hundred seventy-nine thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 557 588 882 1114 1671 1764 2228 3342 3899 5013 6684 7798 10026 11697 15596 20052 21397 23394 27293 35091 42794 46788 54586 64191 70182 81879 85588 109172 128382 140364 149779 163758 192573 245637 256764 299558 327516 385146 449337 491274 599116 770292 898674 982548 1048453 1348011 1797348 2096906 2696022 3145359 4193812 5392044 6290718 9436077 11918129 12581436 18872154 23836258 35754387 37744308 47672516 71508774 83426903 107263161 143017548 166853806 214526322 250280709 333707612 429052644 500561418 583988321 750842127 1001122836 1167976642 1501684254 1751964963 2335953284 3003368508 3503929926 5255894889 7007859852 10511789778 21023579556