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10507099764 = 2237177357913
BaseRepresentation
bin10011100100100010…
…11001111001110100
31000010020221222020010
421302101121321310
5133004304143024
64454335340220
7521242605630
oct116221317164
930106858203
1010507099764
114501a90627
122052981670
13cb5a89cc5
14719645dc0
15417679b29
hex272459e74

10507099764 has 48 divisors (see below), whose sum is σ = 29667109248. Its totient is φ = 2825438208.

The previous prime is 10507099727. The next prime is 10507099787. The reversal of 10507099764 is 46799070501.

It is a happy number.

10507099764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105070997642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3677529 + ... + 3680384.

It is an arithmetic number, because the mean of its divisors is an integer number (618064776).

Almost surely, 210507099764 is an apocalyptic number.

10507099764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10507099764 is an abundant number, since it is smaller than the sum of its proper divisors (19160009484).

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

10507099764 is a wasteful number, since it uses less digits than its factorization.

10507099764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357944 (or 7357942 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 10507099764 in words is "ten billion, five hundred seven million, ninety-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 7357913 14715826 22073739 29431652 44147478 51505391 88294956 103010782 125084521 154516173 206021564 250169042 309032346 375253563 500338084 618064692 750507126 875591647 1501014252 1751183294 2626774941 3502366588 5253549882 10507099764