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21244535104 = 2613293128403
BaseRepresentation
bin10011110010010001…
…011110000101000000
32000211120100012110111
4103302101132011000
5322002100110404
613432024041104
71351313366062
oct236221360500
960746305414
1021244535104
119011a93731
12414a903194
132007492c40
1410576c9732
15845152104
hex4f245e140

21244535104 has 112 divisors (see below), whose sum is σ = 48482219520. Its totient is φ = 9161349120.

The previous prime is 21244535101. The next prime is 21244535159. The reversal of 21244535104 is 40153544212.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21244535101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733767 + ... + 762169.

It is an arithmetic number, because the mean of its divisors is an integer number (432876960).

Almost surely, 221244535104 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 21244535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24241109760).

21244535104 is an abundant number, since it is smaller than the sum of its proper divisors (27237684416).

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

21244535104 is a wasteful number, since it uses less digits than its factorization.

21244535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28488 (or 28478 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 21244535104 in words is "twenty-one billion, two hundred forty-four million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 29 31 32 52 58 62 64 104 116 124 208 232 248 377 403 416 464 496 754 806 832 899 928 992 1508 1612 1798 1856 1984 3016 3224 3596 6032 6448 7192 11687 12064 12896 14384 23374 24128 25792 28403 28768 46748 56806 57536 93496 113612 186992 227224 369239 373984 454448 738478 747968 823687 880493 908896 1476956 1647374 1760986 1817792 2953912 3294748 3521972 5907824 6589496 7043944 10707931 11446409 11815648 13178992 14087888 21415862 22892818 23631296 25534297 26357984 28175776 42831724 45785636 51068594 52715968 56351552 85663448 91571272 102137188 171326896 183142544 204274376 331945861 342653792 366285088 408548752 663891722 685307584 732570176 817097504 1327783444 1634195008 2655566888 5311133776 10622267552 21244535104