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21104602434 = 2331725922921
BaseRepresentation
bin10011101001111011…
…101010110101000010
32000110211000212221000
4103221323222311002
5321210234234214
613410104512430
71344664106106
oct235173526502
960424025830
1021104602434
118a4aaa81a3
12410ba7b716
131cb44aa446
141042ca1906
15837c10809
hex4e9eead42

21104602434 has 96 divisors (see below), whose sum is σ = 50666788800. Its totient is φ = 6508546560.

The previous prime is 21104602433. The next prime is 21104602471. The reversal of 21104602434 is 43420640112.

It is a happy number.

21104602434 is a `hidden beast` number, since 2 + 1 + 10 + 4 + 602 + 43 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21104602398 and 21104602407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21104602433) by changing a digit.

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, 909294 + ... + 932214.

It is an arithmetic number, because the mean of its divisors is an integer number (527779050).

Almost surely, 221104602434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21104602434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25333394400).

21104602434 is an abundant number, since it is smaller than the sum of its proper divisors (29562186366).

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

21104602434 is a wasteful number, since it uses less digits than its factorization.

21104602434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23025 (or 23002 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 21104602434 in words is "twenty-one billion, one hundred four million, six hundred two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 102 118 153 177 289 306 354 459 531 578 867 918 1003 1062 1593 1734 2006 2601 3009 3186 5202 6018 7803 9027 15606 17051 18054 22921 27081 34102 45842 51153 54162 68763 102306 137526 153459 206289 306918 389657 412578 460377 618867 779314 920754 1168971 1237734 1352339 2337942 2704678 3506913 4057017 6624169 7013826 8114034 10520739 12171051 13248338 19872507 21041478 22989763 24342102 36513153 39745014 45979526 59617521 68969289 73026306 119235042 137938578 178852563 206907867 357705126 390825971 413815734 620723601 781651942 1172477913 1241447202 2344955826 3517433739 7034867478 10552301217 21104602434