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770682073225 = 5233725212
BaseRepresentation
bin10110011011100000011…
…10110011000010001001
32201200021011021202011211
423031300032303002021
5100111324102320400
61350014011253121
7106452135351601
oct13156016630211
92650234252154
10770682073225
11277931a36449
12105443a4a1a1
13578a0cb80cc
1429430749c01
15150a94e8dba
hexb3703b3089

770682073225 has 27 divisors (see below), whose sum is σ = 960333172671. Its totient is φ = 613536268800.

The previous prime is 770682073157. The next prime is 770682073243. The reversal of 770682073225 is 522370286077.

It is a happy number.

The square root of 770682073225 is 877885.

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

It can be written as a sum of positive squares in 13 ways, for example, as 744929526649 + 25752546576 = 863093^2 + 160476^2 .

It is not a de Polignac number, because 770682073225 - 27 = 770682073097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1479235965 + ... + 1479236485.

Almost surely, 2770682073225 is an apocalyptic number.

770682073225 is the 877885-th square number.

770682073225 is the 438943-rd centered octagonal number.

It is an amenable number.

770682073225 is a deficient number, since it is larger than the sum of its proper divisors (189651099446).

770682073225 is an frugal number, since it uses more digits than its factorization.

770682073225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

Multiplying 770682073225 by its sum of digits (49), we get a square (37763421588025 = 61451952).

The spelling of 770682073225 in words is "seven hundred seventy billion, six hundred eighty-two million, seventy-three thousand, two hundred twenty-five".

Divisors: 1 5 25 337 521 1685 2605 8425 13025 113569 175577 271441 567845 877885 1357205 2839225 4389425 6786025 59169449 91475617 295847245 457378085 1479236225 2286890425 30827282929 154136414645 770682073225