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7669380625 = 543121132
BaseRepresentation
bin1110010010010000…
…10111011000010001
3201210111021220101021
413021020113120101
5111201330140000
63305005235441
7361024442164
oct71110273021
921714256337
107669380625
1132861901a5
1215a0562b81
13952bb445a
1452a803adb
152ed48e11a
hex1c9217611

7669380625 has 45 divisors (see below), whose sum is σ = 9991191639. Its totient is φ = 5885040000.

The previous prime is 7669380619. The next prime is 7669380661. The reversal of 7669380625 is 5260839667.

The square root of 7669380625 is 87575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 7496615889 + 172764736 = 86583^2 + 13144^2 .

It is not a de Polignac number, because 7669380625 - 215 = 7669347857 is a prime.

It is a super-2 number, since 2×76693806252 (a number of 21 digits) contains 22 as substring.

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, 67870569 + ... + 67870681.

Almost surely, 27669380625 is an apocalyptic number.

7669380625 is the 87575-th square number.

7669380625 is the 43788-th centered octagonal number.

It is an amenable number.

7669380625 is a deficient number, since it is larger than the sum of its proper divisors (2321811014).

7669380625 is an frugal number, since it uses more digits than its factorization.

7669380625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The cubic root of 7669380625 is about 1972.0598778255.

The spelling of 7669380625 in words is "seven billion, six hundred sixty-nine million, three hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 31 113 125 155 565 625 775 961 2825 3503 3875 4805 12769 14125 17515 19375 24025 63845 70625 87575 108593 120125 319225 395839 437875 542965 600625 1596125 1979195 2189375 2714825 7980625 9895975 12271009 13574125 49479875 61355045 67870625 247399375 306775225 1533876125 7669380625