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10675346496 = 263314353787
BaseRepresentation
bin10011111000100110…
…01101110001000000
31000112222112210100120
421330103031301000
5133330342041441
64523145420240
7525354643113
oct117423156100
930488483316
1010675346496
114588a55911
12209b19a680
1310118a7299
14733b2057a
15427310966
hex27c4cdc40

10675346496 has 224 divisors, whose sum is σ = 30435913728. Its totient is φ = 3295918080.

The previous prime is 10675346491. The next prime is 10675346497. The reversal of 10675346496 is 69464357601.

It is a super-2 number, since 2×106753464962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10675346491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13564215 + ... + 13565001.

Almost surely, 210675346496 is an apocalyptic number.

10675346496 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 10675346496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217956864).

10675346496 is an abundant number, since it is smaller than the sum of its proper divisors (19760567232).

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

10675346496 is a wasteful number, since it uses less digits than its factorization.

10675346496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 10675346496 in words is "ten billion, six hundred seventy-five million, three hundred forty-six thousand, four hundred ninety-six".