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21755650112 = 2671033831231
BaseRepresentation
bin10100010000101111…
…001110000001000000
32002011012002112102222
4110100233032001000
5324023421300422
613554443030212
71400060655230
oct242057160100
962135075388
1021755650112
119254551a29
124271b0b368
13208933a261
1410a5535cc0
15874e63842
hex510bce040

21755650112 has 112 divisors (see below), whose sum is σ = 49988370432. Its totient is φ = 9201738240.

The previous prime is 21755650073. The next prime is 21755650117. The reversal of 21755650112 is 21105655712.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×217556501122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21755650117) 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, 17672537 + ... + 17673767.

It is an arithmetic number, because the mean of its divisors is an integer number (446324736).

Almost surely, 221755650112 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 21755650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24994185216).

21755650112 is an abundant number, since it is smaller than the sum of its proper divisors (28232720320).

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

21755650112 is a wasteful number, since it uses less digits than its factorization.

21755650112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 35.

The spelling of 21755650112 in words is "twenty-one billion, seven hundred fifty-five million, six hundred fifty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 383 412 448 721 766 824 1231 1442 1532 1648 2462 2681 2884 3064 3296 4924 5362 5768 6128 6592 8617 9848 10724 11536 12256 17234 19696 21448 23072 24512 34468 39392 39449 42896 46144 68936 78784 78898 85792 126793 137872 157796 171584 253586 275744 276143 315592 471473 507172 551488 552286 631184 887551 942946 1014344 1104572 1262368 1775102 1885892 2028688 2209144 2524736 3300311 3550204 3771784 4057376 4418288 6600622 7100408 7543568 8114752 8836576 13201244 14200816 15087136 17673152 26402488 28401632 30174272 48561719 52804976 56803264 97123438 105609952 194246876 211219904 339932033 388493752 679864066 776987504 1359728132 1553975008 2719456264 3107950016 5438912528 10877825056 21755650112