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21426844590 = 23252937921661
BaseRepresentation
bin10011111101001000…
…111011001110101110
32001022021101111001200
4103331020323032232
5322340233011330
613502055350330
71355656113444
oct237510731656
961267344050
1021426844590
1190a5993528
12419b9823a6
132036195088
1410739c4b94
15856164a60
hex4fd23b3ae

21426844590 has 96 divisors (see below), whose sum is σ = 57785551200. Its totient is φ = 5501986560.

The previous prime is 21426844577. The next prime is 21426844601. The reversal of 21426844590 is 9544862412.

It is a happy number.

21426844590 is a `hidden beast` number, since 2 + 14 + 2 + 6 + 8 + 44 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978360 + ... + 1000020.

It is an arithmetic number, because the mean of its divisors is an integer number (601932825).

Almost surely, 221426844590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21426844590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28892775600).

21426844590 is an abundant number, since it is smaller than the sum of its proper divisors (36358706610).

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

21426844590 is a wasteful number, since it uses less digits than its factorization.

21426844590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22082 (or 22079 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 21426844590 in words is "twenty-one billion, four hundred twenty-six million, eight hundred forty-four thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 379 435 522 758 870 1137 1305 1895 2274 2610 3411 3790 5685 6822 10991 11370 17055 21661 21982 32973 34110 43322 54955 64983 65946 98919 108305 109910 129966 164865 194949 197838 216610 324915 329730 389898 494595 628169 649830 974745 989190 1256338 1884507 1949490 3140845 3769014 5653521 6281690 8209519 9422535 11307042 16419038 18845070 24628557 28267605 41047595 49257114 56535210 73885671 82095190 123142785 147771342 238076051 246285570 369428355 476152102 714228153 738856710 1190380255 1428456306 2142684459 2380760510 3571140765 4285368918 7142281530 10713422295 21426844590