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21387856284 = 22324735335809
BaseRepresentation
bin10011111010110100…
…001100100110011100
32001012120000200011100
4103322310030212130
5322300242400114
613454143553100
71355003531064
oct237264144634
961176020140
1021387856284
119085983a93
12418a8bb790
13202b093b82
14106c7563a4
15852a12909
hex4fad0c99c

21387856284 has 72 divisors (see below), whose sum is σ = 55372000320. Its totient is φ = 6957637632.

The previous prime is 21387856229. The next prime is 21387856297. The reversal of 21387856284 is 48265878312.

21387856284 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 7 + 8 + 5 + 628 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21387856284.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579372 + ... + 615180.

It is an arithmetic number, because the mean of its divisors is an integer number (769055560).

Almost surely, 221387856284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21387856284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27686000160).

21387856284 is an abundant number, since it is smaller than the sum of its proper divisors (33984144036).

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

21387856284 is a wasteful number, since it uses less digits than its factorization.

21387856284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36219 (or 36214 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 21387856284 in words is "twenty-one billion, three hundred eighty-seven million, eight hundred fifty-six thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 353 423 564 706 846 1059 1412 1692 2118 3177 4236 6354 12708 16591 33182 35809 49773 66364 71618 99546 107427 143236 149319 199092 214854 298638 322281 429708 597276 644562 1289124 1683023 3366046 5049069 6732092 10098138 12640577 15147207 20196276 25281154 30294414 37921731 50562308 60588828 75843462 113765193 151686924 227530386 455060772 594107119 1188214238 1782321357 2376428476 3564642714 5346964071 7129285428 10693928142 21387856284