Search a number
-
+
10516612725 = 345231116699
BaseRepresentation
bin10011100101101011…
…01100011001110101
31000010220212021120000
421302311230121311
5133014223101400
64455315301513
7521416506333
oct116265543165
930126767500
1010516612725
114507398883
122055baa899
13cb7a3ac88
1471aa00b53
15418408600
hex272d6c675

10516612725 has 60 divisors (see below), whose sum is σ = 19544210400. Its totient is φ = 5590490400.

The previous prime is 10516612679. The next prime is 10516612739. The reversal of 10516612725 is 52721661501.

10516612725 is a `hidden beast` number, since 1 + 0 + 5 + 16 + 612 + 7 + 25 = 666.

It is not a de Polignac number, because 10516612725 - 26 = 10516612661 is a prime.

It is a super-2 number, since 2×105166127252 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10516612725.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 621426 + ... + 638124.

It is an arithmetic number, because the mean of its divisors is an integer number (325736840).

Almost surely, 210516612725 is an apocalyptic number.

10516612725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10516612725 is a deficient number, since it is larger than the sum of its proper divisors (9027597675).

10516612725 is a wasteful number, since it uses less digits than its factorization.

10516612725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17032 (or 17018 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10516612725 in words is "ten billion, five hundred sixteen million, six hundred twelve thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 311 405 675 933 1555 2025 2799 4665 7775 8397 13995 16699 23325 25191 41985 50097 69975 83495 125955 150291 209925 250485 417475 450873 629775 751455 1252425 1352619 2254365 3757275 5193389 6763095 11271825 15580167 25966945 33815475 46740501 77900835 129834725 140221503 233702505 389504175 420664509 701107515 1168512525 2103322545 3505537575 10516612725