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168448680625 = 54164172
BaseRepresentation
bin1001110011100001010…
…0101110001010110001
3121002210110220121000011
42130320110232022301
510224440330240000
6205214555454521
715112213106101
oct2347024561261
9532713817004
10168448680625
1165490985a45
1228791157441
1312b66737024
14821da15201
1545ad5652ba
hex273852e2b1

168448680625 has 15 divisors (see below), whose sum is σ = 210506293767. Its totient is φ = 134750736000.

The previous prime is 168448680601. The next prime is 168448680637. The reversal of 168448680625 is 526086844861.

It is a happy number.

The square root of 168448680625 is 410425.

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 158855653489 + 9593027136 = 398567^2 + 97944^2 .

It is not a de Polignac number, because 168448680625 - 27 = 168448680497 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 168448680625.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10252417 + ... + 10268833.

Almost surely, 2168448680625 is an apocalyptic number.

168448680625 is the 410425-th square number.

168448680625 is the 205213-rd centered octagonal number.

It is an amenable number.

168448680625 is a deficient number, since it is larger than the sum of its proper divisors (42057613142).

168448680625 is an frugal number, since it uses more digits than its factorization.

168448680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32854 (or 16422 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 58.

The spelling of 168448680625 in words is "one hundred sixty-eight billion, four hundred forty-eight million, six hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 16417 82085 410425 2052125 10260625 269517889 1347589445 6737947225 33689736125 168448680625