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10542669696 = 2737132897
BaseRepresentation
bin10011101000110010…
…00101111110000000
31000012201220010000000
421310121011332000
5133042410412241
64502050000000
7522154133226
oct116431057600
930181803000
1010542669696
114520075869
122062876000
13cc02622c0
14720264b16
1541a853eb6
hex274645f80

10542669696 has 256 divisors, whose sum is σ = 33934420800. Its totient is φ = 3242778624.

The previous prime is 10542669691. The next prime is 10542669701. The reversal of 10542669696 is 69696624501.

10542669696 is a `hidden beast` number, since 1 + 0 + 542 + 6 + 6 + 9 + 6 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (10542669691) and next prime (10542669701).

It is a super-2 number, since 2×105426696962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542669691) 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, 3637720 + ... + 3640616.

Almost surely, 210542669696 is an apocalyptic number.

10542669696 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 10542669696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16967210400).

10542669696 is an abundant number, since it is smaller than the sum of its proper divisors (23391751104).

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

10542669696 is an frugal number, since it uses more digits than its factorization.

10542669696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 10542669696 in words is "ten billion, five hundred forty-two million, six hundred sixty-nine thousand, six hundred ninety-six".