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21557205640 = 23517136123293
BaseRepresentation
bin10100000100111010…
…001101101010001000
32001122100200111210201
4110010322031222020
5323122121040030
613523033421544
71362131140015
oct240472155210
961570614721
1021557205640
119162531733
12421756a8b4
1320571a8ca9
14108703a70c
158628152ca
hex504e8da88

21557205640 has 64 divisors (see below), whose sum is σ = 51396813360. Its totient is φ = 8109342720.

The previous prime is 21557205629. The next prime is 21557205643. The reversal of 21557205640 is 4650275512.

It can be written as a sum of positive squares in 8 ways, for example, as 2926593604 + 18630612036 = 54098^2 + 136494^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21557205640.

It is not an unprimeable number, because it can be changed into a prime (21557205643) 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, 913834 + ... + 937126.

Almost surely, 221557205640 is an apocalyptic number.

21557205640 is a gapful number since it is divisible by the number (20) 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 21557205640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25698406680).

21557205640 is an abundant number, since it is smaller than the sum of its proper divisors (29839607720).

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

21557205640 is a wasteful number, since it uses less digits than its factorization.

21557205640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24682 (or 24678 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The spelling of 21557205640 in words is "twenty-one billion, five hundred fifty-seven million, two hundred five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1361 2722 5444 6805 10888 13610 23137 23293 27220 46274 46586 54440 92548 93172 115685 116465 185096 186344 231370 232930 395981 462740 465860 791962 925480 931720 1583924 1979905 3167848 3959810 7919620 15839240 31701773 63403546 126807092 158508865 253614184 317017730 538930141 634035460 1077860282 1268070920 2155720564 2694650705 4311441128 5389301410 10778602820 21557205640