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10332195840 = 210335312411
BaseRepresentation
bin10011001111101100…
…01100110000000000
3222200001211221011000
421213312030300000
5132130020231330
64425130452000
7514020133641
oct114766146000
928601757130
1010332195840
11442228972a
122004294000
13c8877b865
147003176c8
1540712b560
hex267d8cc00

10332195840 has 352 divisors, whose sum is σ = 37918955520. Its totient is φ = 2665267200.

The previous prime is 10332195833. The next prime is 10332195889. The reversal of 10332195840 is 4859123301.

It is a super-2 number, since 2×103321958402 (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 = 10332195795 and 10332195804.

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, 4284235 + ... + 4286645.

Almost surely, 210332195840 is an apocalyptic number.

10332195840 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 10332195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18959477760).

10332195840 is an abundant number, since it is smaller than the sum of its proper divisors (27586759680).

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

10332195840 is a wasteful number, since it uses less digits than its factorization.

10332195840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10332195840 in words is "ten billion, three hundred thirty-two million, one hundred ninety-five thousand, eight hundred forty".