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21387685540 = 225131931139661
BaseRepresentation
bin10011111010110011…
…100010111010100100
32001012112200222221111
4103322303202322210
5322300221414130
613454140154404
71355002220224
oct237263427244
961175628844
1021387685540
119085877781
12418a838a04
13202b034240
14106c710084
158529cc02a
hex4face2ea4

21387685540 has 96 divisors (see below), whose sum is σ = 52557603840. Its totient is φ = 7239974400.

The previous prime is 21387685511. The next prime is 21387685573. The reversal of 21387685540 is 4558678312.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83310 + ... + 222970.

It is an arithmetic number, because the mean of its divisors is an integer number (547475040).

Almost surely, 221387685540 is an apocalyptic number.

21387685540 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 21387685540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26278801920).

21387685540 is an abundant number, since it is smaller than the sum of its proper divisors (31169918300).

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

21387685540 is a wasteful number, since it uses less digits than its factorization.

21387685540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139733 (or 139731 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 21387685540 in words is "twenty-one billion, three hundred eighty-seven million, six hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 31 38 52 62 65 76 95 124 130 155 190 247 260 310 380 403 494 589 620 806 988 1178 1235 1612 2015 2356 2470 2945 4030 4940 5890 7657 8060 11780 15314 30628 38285 76570 139661 153140 279322 558644 698305 1396610 1815593 2653559 2793220 3631186 4329491 5307118 7262372 8658982 9077965 10614236 13267795 17317964 18155930 21647455 26535590 34496267 36311860 43294910 53071180 56283383 68992534 82260329 86589820 112566766 137985068 164520658 172481335 225133532 281416915 329041316 344962670 411301645 562833830 689925340 822603290 1069384277 1125667660 1645206580 2138768554 4277537108 5346921385 10693842770 21387685540