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10063042560 = 211335172141
BaseRepresentation
bin10010101111100110…
…11101100000000000
3221222022101112021000
421113303131200000
5131102114330220
64342313532000
7504241310334
oct112763354000
927868345230
1010063042560
1142a43638aa
121b4a114000
13c44a9126c
146b66937c4
153dd6b2390
hex257cdd800

10063042560 has 384 divisors, whose sum is σ = 37892836800. Its totient is φ = 2524446720.

The previous prime is 10063042559. The next prime is 10063042573. The reversal of 10063042560 is 6524036001.

10063042560 is a `hidden beast` number, since 1 + 0 + 0 + 63 + 0 + 42 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4699090 + ... + 4701230.

Almost surely, 210063042560 is an apocalyptic number.

10063042560 is a gapful number since it is divisible by the number (10) 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 10063042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946418400).

10063042560 is an abundant number, since it is smaller than the sum of its proper divisors (27829794240).

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

10063042560 is a wasteful number, since it uses less digits than its factorization.

10063042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2194 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 10063042560 its reverse (6524036001), we get a palindrome (16587078561).

The spelling of 10063042560 in words is "ten billion, sixty-three million, forty-two thousand, five hundred sixty".