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139379022225 = 3252248892
BaseRepresentation
bin1000000111001110100…
…0110001100110010001
3111022202120012221101100
42001303220301212101
54240422012202400
6144010240055013
713032641066322
oct2016350614621
9438676187340
10139379022225
1154123908373
1223019904469
13101b302cc21
146a62d84449
15395b45d100
hex2073a31991

139379022225 has 27 divisors (see below), whose sum is σ = 249653346033. Its totient is φ = 74332491840.

The previous prime is 139379022203. The next prime is 139379022241. The reversal of 139379022225 is 522220973931.

The square root of 139379022225 is 373335.

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

139379022225 is a `hidden beast` number, since 1 + 39 + 379 + 0 + 22 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80673608961 + 58705413264 = 284031^2 + 242292^2 .

It is not a de Polignac number, because 139379022225 - 215 = 139378989457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5587581 + ... + 5612469.

Almost surely, 2139379022225 is an apocalyptic number.

139379022225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

139379022225 is the 373335-th square number.

139379022225 is the 186668-th centered octagonal number.

It is an amenable number.

139379022225 is a deficient number, since it is larger than the sum of its proper divisors (110274323808).

139379022225 is an frugal number, since it uses more digits than its factorization.

139379022225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49794 (or 24897 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 139379022225 in words is "one hundred thirty-nine billion, three hundred seventy-nine million, twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 24889 74667 124445 224001 373335 622225 1120005 1866675 5600025 619462321 1858386963 3097311605 5575160889 9291934815 15486558025 27875804445 46459674075 139379022225