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13772196025 = 52744792
BaseRepresentation
bin11001101001110001…
…10000100010111001
31022112210211001021021
430310320300202321
5211201140233100
610154333542441
7665200510000
oct146470604271
938483731237
1013772196025
115928055795
122804344a21
1313b636b323
14949137c37
15559135a1a
hex334e308b9

13772196025 has 45 divisors (see below), whose sum is σ = 19964270351. Its totient is φ = 9424075920.

The previous prime is 13772196007. The next prime is 13772196029. The reversal of 13772196025 is 52069127731.

The square root of 13772196025 is 117355.

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

It can be written as a sum of positive squares in only one way, i.e., 4957990569 + 8814205456 = 70413^2 + 93884^2 .

It is not a de Polignac number, because 13772196025 - 223 = 13763807417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13772196029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28751736 + ... + 28752214.

Almost surely, 213772196025 is an apocalyptic number.

13772196025 is the 117355-th square number.

13772196025 is the 58678-th centered octagonal number.

It is an amenable number.

13772196025 is a deficient number, since it is larger than the sum of its proper divisors (6192074326).

13772196025 is an frugal number, since it uses more digits than its factorization.

13772196025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The spelling of 13772196025 in words is "thirteen billion, seven hundred seventy-two million, one hundred ninety-six thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 343 479 1225 1715 2395 2401 3353 8575 11975 12005 16765 23471 60025 83825 117355 164297 229441 586775 821485 1147205 1150079 1606087 4107425 5736025 5750395 8030435 11242609 28751975 40152175 56213045 78698263 281065225 393491315 550887841 1967456575 2754439205 13772196025