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21462000630 = 2357413796577
BaseRepresentation
bin10011111111001111…
…000010001111110110
32001101201112121002020
4103333033002033312
5322423233010010
613505353054010
71356563665260
oct237717021766
961351477066
1021462000630
119113815804
1241ab6b7306
132040553b75
141078536b30
158592ab470
hex4ff3c23f6

21462000630 has 128 divisors (see below), whose sum is σ = 60471290880. Its totient is φ = 4772597760.

The previous prime is 21462000607. The next prime is 21462000661. The reversal of 21462000630 is 3600026412.

It is a self number, because there is not a number n which added to its sum of digits gives 21462000630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259902 + ... + 3266478.

It is an arithmetic number, because the mean of its divisors is an integer number (472431960).

Almost surely, 221462000630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21462000630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30235645440).

21462000630 is an abundant number, since it is smaller than the sum of its proper divisors (39009290250).

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

21462000630 is a wasteful number, since it uses less digits than its factorization.

21462000630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014.

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 21462000630 in words is "twenty-one billion, four hundred sixty-two million, six hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 379 410 574 615 758 861 1137 1230 1435 1722 1895 2274 2653 2870 3790 4305 5306 5685 6577 7959 8610 11370 13154 13265 15539 15918 19731 26530 31078 32885 39462 39795 46039 46617 65770 77695 79590 92078 93234 98655 108773 138117 155390 197310 217546 230195 233085 269657 276234 326319 460390 466170 539314 543865 652638 690585 808971 1087730 1348285 1381170 1617942 1631595 1887599 2492683 2696570 3263190 3775198 4044855 4985366 5662797 7478049 8089710 9437995 11325594 12463415 14956098 17448781 18875990 24926830 28313985 34897562 37390245 52346343 56627970 74780490 87243905 102200003 104692686 174487810 204400006 261731715 306600009 511000015 523463430 613200018 715400021 1022000030 1430800042 1533000045 2146200063 3066000090 3577000105 4292400126 7154000210 10731000315 21462000630