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63496944196 = 22724124392
BaseRepresentation
bin111011001000101101…
…100111101001000100
320001220012200222100221
4323020231213221010
52020020204203241
645100423514124
74405341056200
oct731055475104
9201805628327
1063496944196
1124a24407a94
1210380bb8944
135cac09693a
143105097b00
1519b97595d1
hexec8b67a44

63496944196 has 81 divisors (see below), whose sum is σ = 132793744797. Its totient is φ = 26488768320.

The previous prime is 63496944101. The next prime is 63496944197. The reversal of 63496944196 is 69144969436.

It is a happy number.

The square root of 63496944196 is 251986.

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

63496944196 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., 3059638596 + 60437305600 = 55314^2 + 245840^2 .

It is not an unprimeable number, because it can be changed into a prime (63496944197) 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, 144639745 + ... + 144640183.

Almost surely, 263496944196 is an apocalyptic number.

63496944196 is the 251986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63496944196

63496944196 is an abundant number, since it is smaller than the sum of its proper divisors (69296800601).

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

63496944196 is an equidigital number, since it uses as much as digits as its factorization.

63496944196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 61.

The spelling of 63496944196 in words is "sixty-three billion, four hundred ninety-six million, nine hundred forty-four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 41 49 82 98 164 196 287 439 574 878 1148 1681 1756 2009 3073 3362 4018 6146 6724 8036 11767 12292 17999 21511 23534 35998 43022 47068 71996 82369 86044 125993 164738 192721 251986 329476 385442 503972 737959 770884 881951 1349047 1475918 1763902 2698094 2951836 3527804 5165713 5396188 7901561 9443329 10331426 15803122 18886658 20662852 31606244 36159991 37773316 55310927 72319982 110621854 144639964 221243708 323964001 387176489 647928002 774352978 1295856004 1548705956 2267748007 4535496014 9070992028 15874236049 31748472098 63496944196