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63013048576 = 282925412
BaseRepresentation
bin111010101011110111…
…101101000100000000
320000122111011112100221
4322223313231010000
52013022320023301
644540420152424
74360344034612
oct725367550400
9200574145327
1063013048576
11247a6250055
1210266b38714
135c32a5ca7a
14309aad4db2
15198c022da1
hexeabded100

63013048576 has 81 divisors (see below), whose sum is σ = 130507986063. Its totient is φ = 30363863040.

The previous prime is 63013048517. The next prime is 63013048577. The reversal of 63013048576 is 67584031036.

The square root of 63013048576 is 251024.

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

63013048576 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 4 ways, for example, as 392990976 + 62620057600 = 19824^2 + 250240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (63013048577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 116474866 + ... + 116475406.

Almost surely, 263013048576 is an apocalyptic number.

63013048576 is the 251024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63013048576

63013048576 is an abundant number, since it is smaller than the sum of its proper divisors (67494937487).

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

63013048576 is an frugal number, since it uses more digits than its factorization.

63013048576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 63013048576 in words is "sixty-three billion, thirteen million, forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 541 841 928 1082 1682 1856 2164 3364 3712 4328 6728 7424 8656 13456 15689 17312 26912 31378 34624 53824 62756 69248 107648 125512 138496 215296 251024 292681 454981 502048 585362 909962 1004096 1170724 1819924 2008192 2341448 3639848 4016384 4682896 7279696 8487749 9365792 14559392 16975498 18731584 29118784 33950996 37463168 58237568 67901992 74926336 116475136 135803984 246144721 271607968 492289442 543215936 984578884 1086431872 1969157768 2172863744 3938315536 7876631072 15753262144 31506524288 63013048576