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63740091024 = 243470132
BaseRepresentation
bin111011010111001101…
…001001101010010000
320002112011020010010000
4323113031021222100
52021014430403044
645140511210000
74414352556111
oct732715115220
9202464203100
1063740091024
112503968a885
121042a516900
13601a579bbc
1431294ac208
1519d0c87d69
hexed7349a90

63740091024 has 75 divisors (see below), whose sum is σ = 184508625433. Its totient is φ = 21243667392.

The previous prime is 63740091013. The next prime is 63740091029. The reversal of 63740091024 is 42019004736.

The square root of 63740091024 is 252468.

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

63740091024 is a `hidden beast` number, since 637 + 4 + 0 + 0 + 9 + 10 + 2 + 4 = 666.

63740091024 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., 53666355600 + 10073735424 = 231660^2 + 100368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63740091024.

It is not an unprimeable number, because it can be changed into a prime (63740091029) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9085342 + ... + 9092354.

Almost surely, 263740091024 is an apocalyptic number.

63740091024 is the 252468-th square number.

It is an amenable number.

63740091024 is an abundant number, since it is smaller than the sum of its proper divisors (120768534409).

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

63740091024 is an frugal number, since it uses more digits than its factorization.

63740091024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14046 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 63740091024 by its sum of digits (36), we get a square (2294643276864 = 15148082).

63740091024 divided by its sum of digits (36) gives a square (1770558084 = 420782).

The spelling of 63740091024 in words is "sixty-three billion, seven hundred forty million, ninety-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 7013 14026 21039 28052 42078 56104 63117 84156 112208 126234 168312 189351 252468 336624 378702 504936 568053 757404 1009872 1136106 1514808 2272212 3029616 4544424 9088848 49182169 98364338 147546507 196728676 295093014 393457352 442639521 590186028 786914704 885279042 1180372056 1327918563 1770558084 2360744112 2655837126 3541116168 3983755689 5311674252 7082232336 7967511378 10623348504 15935022756 21246697008 31870045512 63740091024