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63942225424 = 24721128212
BaseRepresentation
bin111011100011010000…
…001110111000010000
320010001020120121101021
4323203100032320100
52021423202203144
645212531445224
74422355643200
oct734320167020
9203036517337
1063942225424
11251327a0400
1210486156814
13605040085c
143148288400
1519e38b4884
hexee340ee10

63942225424 has 135 divisors (see below), whose sum is σ = 158600228493. Its totient is φ = 24882211200.

The previous prime is 63942225353. The next prime is 63942225427. The reversal of 63942225424 is 42452224936.

The square root of 63942225424 is 252868.

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

It can be written as a sum of positive squares in only one way, i.e., 17458865424 + 46483360000 = 132132^2 + 215600^2 .

It is not an unprimeable number, because it can be changed into a prime (63942225427) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77882934 + ... + 77883754.

Almost surely, 263942225424 is an apocalyptic number.

63942225424 is the 252868-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63942225424

63942225424 is an abundant number, since it is smaller than the sum of its proper divisors (94658003069).

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

63942225424 is an equidigital number, since it uses as much as digits as its factorization.

63942225424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 841 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The spelling of 63942225424 in words is "sixty-three billion, nine hundred forty-two million, two hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 784 821 847 968 1078 1232 1642 1694 1936 2156 3284 3388 4312 5747 5929 6568 6776 8624 9031 11494 11858 13136 13552 18062 22988 23716 36124 40229 45976 47432 63217 72248 80458 91952 94864 99341 126434 144496 160916 198682 252868 321832 397364 442519 505736 643664 674041 695387 794728 885038 1011472 1348082 1390774 1589456 1770076 2696164 2781548 3540152 4718287 4867709 5392328 5563096 7080304 7414451 9436574 9735418 10784656 11126192 14828902 18873148 19470836 29657804 33028009 37746296 38941672 51901157 59315608 66056018 75492592 77883344 81558961 103802314 118631216 132112036 163117922 207604628 264224072 326235844 363308099 415209256 528448144 570912727 652471688 726616198 830418512 1141825454 1304943376 1453232396 2283650908 2906464792 3996389089 4567301816 5812929584 7992778178 9134603632 15985556356 31971112712 63942225424