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10690297920 = 2633531167239
BaseRepresentation
bin10011111010011000…
…10000000001000000
31000121000200101212000
421331030100001000
5133343204013140
64524442104000
7525626014221
oct117514200100
930530611760
1010690297920
114596438065
1220a41ab000
131014a10793
14735ad3248
154287b5a30
hex27d310040

10690297920 has 448 divisors, whose sum is σ = 39326515200. Its totient is φ = 2730792960.

The previous prime is 10690297913. The next prime is 10690297987. The reversal of 10690297920 is 2979209601.

It is a super-2 number, since 2×106902979202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44729161 + ... + 44729399.

It is an arithmetic number, because the mean of its divisors is an integer number (87782400).

Almost surely, 210690297920 is an apocalyptic number.

10690297920 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 10690297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663257600).

10690297920 is an abundant number, since it is smaller than the sum of its proper divisors (28636217280).

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

10690297920 is a wasteful number, since it uses less digits than its factorization.

10690297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 10690297920 in words is "ten billion, six hundred ninety million, two hundred ninety-seven thousand, nine hundred twenty".