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21372490080 = 2532525757751
BaseRepresentation
bin10011111001111001…
…100101000101100000
32001011111002222200200
4103321321211011200
5322232324140310
613452434345200
71354426111464
oct237171450540
961144088620
1021372490080
119078239147
12418572b200
132027b43946
14106a6b64a4
158514c99c0
hex4f9e65160

21372490080 has 144 divisors (see below), whose sum is σ = 73218678624. Its totient is φ = 5677056000.

The previous prime is 21372490039. The next prime is 21372490091. The reversal of 21372490080 is 8009427312.

21372490080 is a `hidden beast` number, since 21 + 3 + 72 + 490 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341205 + ... + 398955.

It is an arithmetic number, because the mean of its divisors is an integer number (508463046).

Almost surely, 221372490080 is an apocalyptic number.

21372490080 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 21372490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36609339312).

21372490080 is an abundant number, since it is smaller than the sum of its proper divisors (51846188544).

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

21372490080 is a wasteful number, since it uses less digits than its factorization.

21372490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58029 (or 58018 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 21372490080 in words is "twenty-one billion, three hundred seventy-two million, four hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 257 288 360 480 514 720 771 1028 1285 1440 1542 2056 2313 2570 3084 3855 4112 4626 5140 6168 7710 8224 9252 10280 11565 12336 15420 18504 20560 23130 24672 30840 37008 41120 46260 57751 61680 74016 92520 115502 123360 173253 185040 231004 288755 346506 370080 462008 519759 577510 693012 866265 924016 1039518 1155020 1386024 1732530 1848032 2079036 2310040 2598795 2772048 3465060 4158072 4620080 5197590 5544096 6930120 8316144 9240160 10395180 13860240 14842007 16632288 20790360 27720480 29684014 41580720 44526021 59368028 74210035 83161440 89052042 118736056 133578063 148420070 178104084 222630105 237472112 267156126 296840140 356208168 445260210 474944224 534312252 593680280 667890315 712416336 890520420 1068624504 1187360560 1335780630 1424832672 1781040840 2137249008 2374721120 2671561260 3562081680 4274498016 5343122520 7124163360 10686245040 21372490080