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10036338840 = 233251119133391
BaseRepresentation
bin10010101100011011…
…00110000010011000
3221220110010211122100
421112031212002120
5131023300320330
64335521323400
7503465321043
oct112615460230
927813124570
1010036338840
114290284a10
121b41196560
13c3c3a1748
146b2d01c5a
153db18a060
hex256366098

10036338840 has 192 divisors, whose sum is σ = 37456473600. Its totient is φ = 2304979200.

The previous prime is 10036338833. The next prime is 10036338863. The reversal of 10036338840 is 4883363001.

It is a happy number.

10036338840 is a `hidden beast` number, since 10 + 0 + 3 + 633 + 8 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×100363388402 (a number of 21 digits) contains 22 as substring.

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 = 10036338795 and 10036338804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8545 + ... + 141935.

It is an arithmetic number, because the mean of its divisors is an integer number (195085800).

Almost surely, 210036338840 is an apocalyptic number.

10036338840 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 10036338840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18728236800).

10036338840 is an abundant number, since it is smaller than the sum of its proper divisors (27420134760).

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

10036338840 is a wasteful number, since it uses less digits than its factorization.

10036338840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133438 (or 133431 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10036338840 in words is "ten billion, thirty-six million, three hundred thirty-eight thousand, eight hundred forty".