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10625065053876 = 2232721319314631699
BaseRepresentation
bin1001101010011101011100…
…1110100110111010110100
31101121202011001101222021100
42122213113032212322310
52343040113123211001
634333030522250100
72144431005550200
oct232472716467264
941552131358240
1010625065053876
113427079256579
121237260956930
135c0c29948650
1428a382251b00
151365b0533586
hex9a9d73a6eb4

10625065053876 has 864 divisors, whose sum is σ = 36659890176000. Its totient is φ = 2562035857920.

The previous prime is 10625065053871. The next prime is 10625065053997. The reversal of 10625065053876 is 67835056052601.

It is a happy number.

10625065053876 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 50 + 6 + 50 + 538 + 7 + 6 = 666.

It is a super-2 number, since 2×106250650538762 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10625065053871) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6253716075 + ... + 6253717773.

Almost surely, 210625065053876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10625065053876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18329945088000).

10625065053876 is an abundant number, since it is smaller than the sum of its proper divisors (26034825122124).

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

10625065053876 is a wasteful number, since it uses less digits than its factorization.

10625065053876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 10625065053876 in words is "ten trillion, six hundred twenty-five billion, sixty-five million, fifty-three thousand, eight hundred seventy-six".