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31550640625 = 5674292
BaseRepresentation
bin11101011000100100…
…001001000111110001
310000102211002121102101
4131120210021013301
51004103431000000
622254423420401
72164566010000
oct353044110761
9100384077371
1031550640625
1112420572309
1261462b4701
132c8a70822a
141754370c37
15c49d27e6a
hex7589091f1

31550640625 has 105 divisors (see below), whose sum is σ = 47649214301. Its totient is φ = 20888700000.

The previous prime is 31550640599. The next prime is 31550640677. The reversal of 31550640625 is 52604605513.

The square root of 31550640625 is 177625.

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

It can be written as a sum of positive squares in 10 ways, for example, as 26736501169 + 4814139456 = 163513^2 + 69384^2 .

It is not a de Polignac number, because 31550640625 - 25 = 31550640593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1087953111 + ... + 1087953139.

Almost surely, 231550640625 is an apocalyptic number.

31550640625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

31550640625 is the 177625-th square number.

31550640625 is the 88813-rd centered octagonal number.

It is an amenable number.

31550640625 is a deficient number, since it is larger than the sum of its proper divisors (16098573676).

31550640625 is an frugal number, since it uses more digits than its factorization.

31550640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 31550640625 in words is "thirty-one billion, five hundred fifty million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 7 25 29 35 49 125 145 175 203 245 343 625 725 841 875 1015 1225 1421 1715 2401 3125 3625 4205 4375 5075 5887 6125 7105 8575 9947 12005 15625 18125 21025 21875 25375 29435 30625 35525 41209 42875 49735 60025 69629 90625 105125 109375 126875 147175 153125 177625 206045 214375 248675 288463 300125 348145 453125 525625 634375 735875 765625 888125 1030225 1071875 1243375 1442315 1500625 1740725 2019241 2628125 3171875 3679375 4440625 5151125 5359375 6216875 7211575 7503125 8703625 10096205 13140625 18396875 22203125 25755625 31084375 36057875 37515625 43518125 50481025 91984375 128778125 155421875 180289375 217590625 252405125 643890625 901446875 1087953125 1262025625 4507234375 6310128125 31550640625