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21379013880 = 2335770136307
BaseRepresentation
bin10011111010010010…
…011101110011111000
32001011221101102122220
4103322102131303320
5322241011421010
613453230244040
71354535422350
oct237222356370
961157342586
1021379013880
119080994614
124187956620
1320292b9193
14106b4d3b60
15851d67970
hex4fa49dcf8

21379013880 has 128 divisors (see below), whose sum is σ = 73406062080. Its totient is φ = 4879526400.

The previous prime is 21379013839. The next prime is 21379013893. The reversal of 21379013880 is 8831097312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570687 + ... + 606993.

It is an arithmetic number, because the mean of its divisors is an integer number (573484860).

Almost surely, 221379013880 is an apocalyptic number.

21379013880 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 21379013880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36703031040).

21379013880 is an abundant number, since it is smaller than the sum of its proper divisors (52027048200).

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

21379013880 is a wasteful number, since it uses less digits than its factorization.

21379013880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37029 (or 37025 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 21379013880 in words is "twenty-one billion, three hundred seventy-nine million, thirteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 701 840 1402 2103 2804 3505 4206 4907 5608 7010 8412 9814 10515 14020 14721 16824 19628 21030 24535 28040 29442 36307 39256 42060 49070 58884 72614 73605 84120 98140 108921 117768 145228 147210 181535 196280 217842 254149 290456 294420 363070 435684 508298 544605 588840 726140 762447 871368 1016596 1089210 1270745 1452280 1524894 2033192 2178420 2541490 3049788 3812235 4356840 5082980 6099576 7624470 10165960 15248940 25451207 30497880 50902414 76353621 101804828 127256035 152707242 178158449 203609656 254512070 305414484 356316898 381768105 509024140 534475347 610828968 712633796 763536210 890792245 1018048280 1068950694 1425267592 1527072420 1781584490 2137901388 2672376735 3054144840 3563168980 4275802776 5344753470 7126337960 10689506940 21379013880