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2154953125 = 56131032
BaseRepresentation
bin1000000001110001…
…1111100110100101
312120011220221221201
42000130133212211
513403132000000
6553500042501
7104254541113
oct20034374645
95504827851
102154953125
11a064621a6
12501833431
132845bb8c0
141662b2ab3
15c92be96a
hex8071f9a5

2154953125 has 42 divisors (see below), whose sum is σ = 2929298442. Its totient is φ = 1575900000.

The previous prime is 2154953123. The next prime is 2154953147. The reversal of 2154953125 is 5213594512.

It can be written as a sum of positive squares in 7 ways, for example, as 2044577089 + 110376036 = 45217^2 + 10506^2 .

It is not a de Polignac number, because 2154953125 - 21 = 2154953123 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154953123) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 20921824 + ... + 20921926.

It is an arithmetic number, because the mean of its divisors is an integer number (69745201).

Almost surely, 22154953125 is an apocalyptic number.

2154953125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2154953125 is a deficient number, since it is larger than the sum of its proper divisors (774345317).

2154953125 is an frugal number, since it uses more digits than its factorization.

2154953125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 121 counting only the distinct ones).

The product of its digits is 54000, while the sum is 37.

The square root of 2154953125 is about 46421.4726715989. The cubic root of 2154953125 is about 1291.6532545723.

The spelling of 2154953125 in words is "two billion, one hundred fifty-four million, nine hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 103 125 325 515 625 1339 1625 2575 3125 6695 8125 10609 12875 15625 33475 40625 53045 64375 137917 167375 203125 265225 321875 689585 836875 1326125 1609375 3447925 4184375 6630625 17239625 20921875 33153125 86198125 165765625 430990625 2154953125