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27858709078225 = 52412257472
BaseRepresentation
bin1100101010110010111000…
…11101010110000011010001
310122122021012100001102000021
412111121130131112003101
512122414114011000400
6135130040403223441
75603503532021404
oct625313435260321
9118567170042007
1027858709078225
1189708a2aaa533
12315b255377b81
1312710aca3906c
146c4523a71d3b
15334a07ace71a
hex19565c7560d1

27858709078225 has 27 divisors (see below), whose sum is σ = 35409280762641. Its totient is φ = 21742538193600.

The previous prime is 27858709078097. The next prime is 27858709078253. The reversal of 27858709078225 is 52287090785872.

The square root of 27858709078225 is 5278135.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11726179771201 + 16132529307024 = 3424351^2 + 4016532^2 .

It is not a de Polignac number, because 27858709078225 - 27 = 27858709078097 is a prime.

It is a super-2 number, since 2×278587090782252 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

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, 1082004802 + ... + 1082030548.

Almost surely, 227858709078225 is an apocalyptic number.

27858709078225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27858709078225 is the 5278135-th square number.

27858709078225 is the 2639068-th centered octagonal number.

It is an amenable number.

27858709078225 is a deficient number, since it is larger than the sum of its proper divisors (7550571684416).

27858709078225 is an frugal number, since it uses more digits than its factorization.

27858709078225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51586 (or 25793 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 70.

The spelling of 27858709078225 in words is "twenty-seven trillion, eight hundred fifty-eight billion, seven hundred nine million, seventy-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1681 8405 25747 42025 128735 643675 1055627 5278135 26390675 43280707 216403535 662908009 1082017675 3314540045 16572700225 27179228369 135896141845 679480709225 1114348363129 5571741815645 27858709078225