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63744130576 = 24727121272
BaseRepresentation
bin111011010111011100…
…100011111000010000
320002112102211100100001
4323113130203320100
52021021444134301
645141133535344
74414432112200
oct732734437020
9202472740301
1063744130576
1125040999855
121042b944554
13601b362779
143129c40400
1519d12d4c01
hexed7723e10

63744130576 has 135 divisors (see below), whose sum is σ = 146876646447. Its totient is φ = 26722059840.

The previous prime is 63744130573. The next prime is 63744130589. The reversal of 63744130576 is 67503144736.

The square root of 63744130576 is 252476.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63744130573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 501922225 + ... + 501922351.

Almost surely, 263744130576 is an apocalyptic number.

63744130576 is the 252476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63744130576

63744130576 is an abundant number, since it is smaller than the sum of its proper divisors (83132515871).

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

63744130576 is an equidigital number, since it uses as much as digits as its factorization.

63744130576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 63744130576 in words is "sixty-three billion, seven hundred forty-four million, one hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 127 142 196 254 284 392 497 508 568 784 889 994 1016 1136 1778 1988 2032 3479 3556 3976 5041 6223 6958 7112 7952 9017 10082 12446 13916 14224 16129 18034 20164 24892 27832 32258 35287 36068 40328 49784 55664 63119 64516 70574 72136 80656 99568 112903 126238 129032 141148 144272 225806 247009 252476 258064 282296 441833 451612 494018 504952 564592 640207 790321 883666 903224 988036 1009904 1145159 1280414 1580642 1767332 1806448 1976072 2290318 2560828 3161284 3534664 3952144 4481449 4580636 5121656 6322568 7069328 8016113 8962898 9161272 10243312 12645136 16032226 17925796 18322544 31370143 32064452 35851592 56112791 62740286 64128904 71703184 81306289 112225582 125480572 128257808 162612578 224451164 250961144 325225156 448902328 501922288 569144023 650450312 897804656 1138288046 1300900624 2276576092 3984008161 4553152184 7968016322 9106304368 15936032644 31872065288 63744130576