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21917390724 = 2233317192203
BaseRepresentation
bin10100011010011000…
…001101011110000100
32002120110102210212000
4110122120031132010
5324341323000344
614022501425300
71404063514215
oct243230153604
962513383760
1021917390724
119327883059
1242b810b230
1320b39ba068
1410bcbd940c
15884261a69
hex51a60d784

21917390724 has 96 divisors (see below), whose sum is σ = 59482644480. Its totient is φ = 6970471200.

The previous prime is 21917390687. The next prime is 21917390731. The reversal of 21917390724 is 42709371912.

21917390724 is a `hidden beast` number, since 2 + 191 + 7 + 390 + 72 + 4 = 666.

It is a super-2 number, since 2×219173907242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21917390724.

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, 191607 + ... + 283809.

It is an arithmetic number, because the mean of its divisors is an integer number (619610880).

Almost surely, 221917390724 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 21917390724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29741322240).

21917390724 is an abundant number, since it is smaller than the sum of its proper divisors (37565253756).

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

21917390724 is a wasteful number, since it uses less digits than its factorization.

21917390724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92318 (or 92310 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 21917390724 in words is "twenty-one billion, nine hundred seventeen million, three hundred ninety thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 71 93 108 124 142 186 213 279 284 372 426 558 639 837 852 1116 1278 1674 1917 2201 2556 3348 3834 4402 6603 7668 8804 13206 19809 26412 39618 59427 79236 92203 118854 184406 237708 276609 368812 553218 829827 1106436 1659654 2489481 2858293 3319308 4978962 5716586 6546413 8574879 9957924 11433172 13092826 17149758 19639239 25724637 26185652 34299516 39278478 51449274 58917717 77173911 78556956 102898548 117835434 154347822 176753151 202938803 235670868 308695644 353506302 405877606 608816409 707012604 811755212 1217632818 1826449227 2435265636 3652898454 5479347681 7305796908 10958695362 21917390724