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10204386422976 = 2634233710921221
BaseRepresentation
bin1001010001111110010011…
…0100111111000011000000
31100010112022020100022110000
42110133210310333003000
52314142040411013401
633411455211240000
72102146131311424
oct224374464770300
940115266308400
1010204386422976
113284724120779
121189818449000
13590367165945
14273c759d2b84
1512a68d51d186
hex947e4d3f0c0

10204386422976 has 560 divisors, whose sum is σ = 32716205311680. Its totient is φ = 3136447733760.

The previous prime is 10204386422957. The next prime is 10204386422987. The reversal of 10204386422976 is 67922468340201.

It is a happy number.

10204386422976 is a `hidden beast` number, since 1 + 0 + 204 + 3 + 8 + 6 + 422 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 480852046 + ... + 480873266.

Almost surely, 210204386422976 is an apocalyptic number.

10204386422976 is a gapful number since it is divisible by the number (16) 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 10204386422976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16358102655840).

10204386422976 is an abundant number, since it is smaller than the sum of its proper divisors (22511818888704).

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

10204386422976 is a wasteful number, since it uses less digits than its factorization.

10204386422976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21414 (or 21395 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 10204386422976 in words is "ten trillion, two hundred four billion, three hundred eighty-six million, four hundred twenty-two thousand, nine hundred seventy-six".