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10516939776 = 21033731109
BaseRepresentation
bin10011100101101101…
…11100010000000000
31000010221110220012000
421302312330100000
5133014314033101
64455330304000
7521422341000
oct116266742000
930127426160
1010516939776
1145075a1572
122056128000
13cb7b23ab5
1471aa88000
15418470486
hex272dbc400

10516939776 has 352 divisors, whose sum is σ = 36354720000. Its totient is φ = 3002130432.

The previous prime is 10516939747. The next prime is 10516939781. The reversal of 10516939776 is 67793961501.

It is a happy number.

It is a super-2 number, since 2×105169397762 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9482710 + ... + 9483818.

Almost surely, 210516939776 is an apocalyptic number.

10516939776 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 10516939776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177360000).

10516939776 is an abundant number, since it is smaller than the sum of its proper divisors (25837780224).

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

10516939776 is an equidigital number, since it uses as much as digits as its factorization.

10516939776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 10516939776 in words is "ten billion, five hundred sixteen million, nine hundred thirty-nine thousand, seven hundred seventy-six".