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21207514384 = 24747432
BaseRepresentation
bin10011110000000100…
…001111110100010000
32000201222200100120201
4103300010033310100
5321413110430014
613424222344544
71350353620000
oct236004176420
960658610521
1021207514384
118aa30a84a1
12413a42b154
131ccc9004a4
141052810000
15841c8ce74
hex4f010fd10

21207514384 has 75 divisors (see below), whose sum is σ = 47999568983. Its totient is φ = 9076701984.

The previous prime is 21207514379. The next prime is 21207514421. The reversal of 21207514384 is 48341570212.

The square root of 21207514384 is 145628.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28542717 + ... + 28543459.

Almost surely, 221207514384 is an apocalyptic number.

21207514384 is the 145628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21207514384

21207514384 is an abundant number, since it is smaller than the sum of its proper divisors (26792054599).

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

21207514384 is an frugal number, since it uses more digits than its factorization.

21207514384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 21207514384 in words is "twenty-one billion, two hundred seven million, five hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 743 784 1372 1486 2401 2744 2972 4802 5201 5488 5944 9604 10402 11888 19208 20804 36407 38416 41608 72814 83216 145628 254849 291256 509698 552049 582512 1019396 1104098 1783943 2038792 2208196 3567886 3864343 4077584 4416392 7135772 7728686 8832784 14271544 15457372 27050401 28543088 30914744 54100802 61829488 108201604 189352807 216403208 378705614 432806416 757411228 1325469649 1514822456 2650939298 3029644912 5301878596 10603757192 21207514384