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63053295432 = 23331143359141
BaseRepresentation
bin111010101110010001…
…001110111101001000
320000202021220021200020
4322232101032331020
52013113120423212
644544414540440
74361343111441
oct725621167510
9200667807606
1063053295432
1124816a3a116
1210278507720
135c3b1b1a8a
1430a21b02c8
151990822d8c
hexeae44ef48

63053295432 has 64 divisors (see below), whose sum is σ = 162834485760. Its totient is φ = 20325235200.

The previous prime is 63053295343. The next prime is 63053295433. The reversal of 63053295432 is 23459235036.

It is not an unprimeable number, because it can be changed into a prime (63053295433) 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 15 ways as a sum of consecutive naturals, for example, 1036582 + ... + 1095722.

It is an arithmetic number, because the mean of its divisors is an integer number (2544288840).

Almost surely, 263053295432 is an apocalyptic number.

63053295432 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63053295432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81417242880).

63053295432 is an abundant number, since it is smaller than the sum of its proper divisors (99781190328).

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

63053295432 is a wasteful number, since it uses less digits than its factorization.

63053295432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60614 (or 60610 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 63053295432 in words is "sixty-three billion, fifty-three million, two hundred ninety-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1433 2866 4299 5732 8598 11464 17196 34392 44423 59141 88846 118282 133269 177423 177692 236564 266538 354846 355384 473128 533076 709692 1066152 1419384 1833371 3666742 5500113 7333484 11000226 14666968 22000452 44000904 84749053 169498106 254247159 338996212 508494318 677992424 1016988636 2033977272 2627220643 5254441286 7881661929 10508882572 15763323858 21017765144 31526647716 63053295432