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10516465437 = 34128923431
BaseRepresentation
bin10011100101101010…
…01000011100011101
31000010220120210111220
421302311020130131
5133014203343222
64455312203553
7521415324042
oct116265103435
930126523456
1010516465437
1145072a8155
122055b395b9
13cb79b8c1a
1471a9a31c9
154183c9b5c
hex272d4871d

10516465437 has 24 divisors (see below), whose sum is σ = 14534400960. Its totient is φ = 6762835200.

The previous prime is 10516465433. The next prime is 10516465447. The reversal of 10516465437 is 73456461501.

10516465437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10516465437 - 22 = 10516465433 is a prime.

It is a super-2 number, since 2×105164654372 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516465433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 437112 + ... + 460542.

It is an arithmetic number, because the mean of its divisors is an integer number (605600040).

Almost surely, 210516465437 is an apocalyptic number.

It is an amenable number.

10516465437 is a deficient number, since it is larger than the sum of its proper divisors (4017935523).

10516465437 is an equidigital number, since it uses as much as digits as its factorization.

10516465437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23605 (or 23564 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 10516465437 in words is "ten billion, five hundred sixteen million, four hundred sixty-five thousand, four hundred thirty-seven".

Divisors: 1 3 41 89 123 267 1681 3649 5043 10947 23431 70293 149609 448827 960671 2085359 2882013 6256077 39387511 85499719 118162533 256499157 3505488479 10516465437