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50904835641 = 34112432532
BaseRepresentation
bin101111011010001010…
…100010011000111001
311212101122102120210000
4233122022202120321
51313223114220031
635215123143213
73451316651352
oct573212423071
9155348376700
1050904835641
111a6524a8500
129a47b14b09
134a5336a42a
14266c988d29
1514ce0293e6
hexbda2a2639

50904835641 has 135 divisors (see below), whose sum is σ = 87218572287. Its totient is φ = 29565375840.

The previous prime is 50904835571. The next prime is 50904835661. The reversal of 50904835641 is 14653840905.

The square root of 50904835641 is 225621.

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

50904835641 is a `hidden beast` number, since 5 + 0 + 9 + 0 + 4 + 83 + 564 + 1 = 666.

50904835641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36697149225 + 14207686416 = 191565^2 + 119196^2 .

It is not a de Polignac number, because 50904835641 - 211 = 50904833593 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (50904835661) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 960468571 + ... + 960468623.

Almost surely, 250904835641 is an apocalyptic number.

50904835641 is the 225621-st square number.

50904835641 is the 112811-st centered octagonal number.

It is an amenable number.

50904835641 is a deficient number, since it is larger than the sum of its proper divisors (36313736646).

50904835641 is an equidigital number, since it uses as much as digits as its factorization.

50904835641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 50904835641 in words is "fifty billion, nine hundred four million, eight hundred thirty-five thousand, six hundred forty-one".

Divisors: 1 3 9 11 27 33 43 53 81 99 121 129 159 297 363 387 473 477 583 891 1089 1161 1419 1431 1749 1849 2279 2809 3267 3483 4257 4293 5203 5247 5547 6413 6837 8427 9801 12771 15609 15741 16641 19239 20339 20511 25069 25281 30899 38313 46827 47223 49923 57717 61017 61533 75207 75843 92697 97997 120787 140481 149769 173151 183051 184599 223729 225621 227529 275759 278091 293991 339889 362361 421443 519453 549153 671187 676863 827277 834273 881973 1019667 1077967 1087083 1328657 1647459 2013561 2030589 2481831 2502819 2645919 3059001 3233901 3261249 3985971 5193841 6040683 7445493 7937757 9177003 9701703 9783747 11857637 11957913 14615227 15581523 18122049 22336479 27531009 29105109 35572911 35873739 43845681 46744569 57132251 87315327 106718733 107621217 131537043 140233707 171396753 320156199 394611129 420701121 514190259 628454761 960468597 1183833387 1542570777 1885364283 4627712331 5656092849 16968278547 50904835641