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10063612944 = 243272111729263
BaseRepresentation
bin10010101111101011…
…01000110000010000
3221222100110111200100
421113311220300100
5131102241103234
64342334052400
7504246204300
oct112765506020
927870414610
1010063612944
1142a47133a0
121b4a34a100
13c44c30a78
146b67a1600
153dd776399
hex257d68c10

10063612944 has 720 divisors, whose sum is σ = 39296949120. Its totient is φ = 2366300160.

The previous prime is 10063612931. The next prime is 10063612981. The reversal of 10063612944 is 44921636001.

10063612944 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 361 + 294 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10063612899 and 10063612908.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38264557 + ... + 38264819.

It is an arithmetic number, because the mean of its divisors is an integer number (54579096).

Almost surely, 210063612944 is an apocalyptic number.

10063612944 is a gapful number since it is divisible by the number (14) 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 10063612944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648474560).

10063612944 is an abundant number, since it is smaller than the sum of its proper divisors (29233336176).

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

10063612944 is a wasteful number, since it uses less digits than its factorization.

10063612944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10063612944 in words is "ten billion, sixty-three million, six hundred twelve thousand, nine hundred forty-four".