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10690318080 = 2832513217219
BaseRepresentation
bin10011111010011000…
…10100111100000000
31000121000201102111200
421331030110330000
5133343210134310
64524442341200
7525626130051
oct117514247400
930530642450
1010690318080
114596451222
1220a41ba800
131014a19a00
14735ada728
154287bb9c0
hex27d314f00

10690318080 has 972 divisors, whose sum is σ = 44785245960. Its totient is φ = 2346319872.

The previous prime is 10690318031. The next prime is 10690318087. The reversal of 10690318080 is 8081309601.

It is a super-2 number, since 2×106903180802 (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690318087) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 562648311 + ... + 562648329.

Almost surely, 210690318080 is an apocalyptic number.

10690318080 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 10690318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22392622980).

10690318080 is an abundant number, since it is smaller than the sum of its proper divisors (34094927880).

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

10690318080 is a wasteful number, since it uses less digits than its factorization.

10690318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10690318080 in words is "ten billion, six hundred ninety million, three hundred eighteen thousand, eighty".