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768997455625 = 547250112
BaseRepresentation
bin10110011000010111101…
…00011111011100001001
32201111220202101022021101
423030023310133130021
5100044401322040000
61345134512141401
7106362321344200
oct13141364373411
92644822338241
10768997455625
1127714801a2a3
12105053837861
1357692c96269
1429310b0a237
151500b682e6a
hexb30bd1f709

768997455625 has 45 divisors (see below), whose sum is σ = 1118050375761. Its totient is φ = 527207310000.

The previous prime is 768997455613. The next prime is 768997455631. The reversal of 768997455625 is 526554799867.

The square root of 768997455625 is 876925.

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

It can be written as a sum of positive squares in 2 ways, for example, as 60289400521 + 708708055104 = 245539^2 + 841848^2 .

It is not a de Polignac number, because 768997455625 - 25 = 768997455593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 153459370 + ... + 153464380.

Almost surely, 2768997455625 is an apocalyptic number.

768997455625 is the 876925-th square number.

768997455625 is the 438463-rd centered octagonal number.

It is an amenable number.

768997455625 is a deficient number, since it is larger than the sum of its proper divisors (349052920136).

768997455625 is an frugal number, since it uses more digits than its factorization.

768997455625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056 (or 5023 counting only the distinct ones).

The product of its digits is 1143072000, while the sum is 73.

The spelling of 768997455625 in words is "seven hundred sixty-eight billion, nine hundred ninety-seven million, four hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 625 875 1225 4375 5011 6125 25055 30625 35077 125275 175385 245539 626375 876925 1227695 3131875 4384625 6138475 21923125 25110121 30692375 125550605 153461875 175770847 627753025 878854235 1230395929 3138765125 4394271175 6151979645 15693825625 21971355875 30759898225 109856779375 153799491125 768997455625