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968639798025 = 3452218712
BaseRepresentation
bin11100001100001110110…
…11100101101100001001
310102121020011200002210000
432012013123211230021
5111332233242014100
62020553104313213
7126660540301524
oct16060733455411
93377204602700
10968639798025
11343885a05aa9
1213788b612809
137045b17a903
1434c4d4c9bbb
151a2e3509900
hexe1876e5b09

968639798025 has 45 divisors (see below), whose sum is σ = 1794337786263. Its totient is φ = 516584271600.

The previous prime is 968639798023. The next prime is 968639798041. The reversal of 968639798025 is 520897936869.

The square root of 968639798025 is 984195.

It is a perfect power (a square), and thus also a powerful number.

968639798025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 348710327289 + 619929470736 = 590517^2 + 787356^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 968639798025 - 21 = 968639798023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (968639798023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44277840 + ... + 44299710.

Almost surely, 2968639798025 is an apocalyptic number.

968639798025 is the 984195-th square number.

968639798025 is the 492098-th centered octagonal number.

It is an amenable number.

968639798025 is a deficient number, since it is larger than the sum of its proper divisors (825697988238).

968639798025 is an frugal number, since it uses more digits than its factorization.

968639798025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43764 (or 21879 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 968639798025 in words is "nine hundred sixty-eight billion, six hundred thirty-nine million, seven hundred ninety-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 21871 65613 109355 196839 328065 546775 590517 984195 1640325 1771551 2952585 4920975 8857755 14762925 44288775 478340641 1435021923 2391703205 4305065769 7175109615 11958516025 12915197307 21525328845 35875548075 38745591921 64575986535 107626644225 193727959605 322879932675 968639798025