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53993493225 = 32527222132
BaseRepresentation
bin110010010010010000…
…110101001011101001
312011100220021122110100
4302102100311023221
51341034313240400
640445415540013
73621003056100
oct622220651351
9164326248410
1053993493225
1120997a12681
12a56a38a609
135126223879
142882c6d037
151610282100
hexc924352e9

53993493225 has 81 divisors (see below), whose sum is σ = 112548321093. Its totient is φ = 24671586240.

The previous prime is 53993493217. The next prime is 53993493289. The reversal of 53993493225 is 52239439935.

The square root of 53993493225 is 232365.

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 15159273129 + 38834220096 = 123123^2 + 197064^2 .

It is not a de Polignac number, because 53993493225 - 23 = 53993493217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24397219 + ... + 24399431.

Almost surely, 253993493225 is an apocalyptic number.

53993493225 is the 232365-th square number.

53993493225 is the 116183-rd centered octagonal number.

It is an amenable number.

53993493225 is an abundant number, since it is smaller than the sum of its proper divisors (58554827868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53993493225 is an equidigital number, since it uses as much as digits as its factorization.

53993493225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 2228 counting only the distinct ones).

The product of its digits is 7873200, while the sum is 54.

The spelling of 53993493225 in words is "fifty-three billion, nine hundred ninety-three million, four hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 2213 3675 6639 11025 11065 15491 19917 33195 46473 55325 77455 99585 108437 139419 165975 232365 325311 387275 497925 542185 697095 975933 1161825 1626555 2710925 3485475 4879665 4897369 8132775 14692107 24398325 24486845 34281583 44076321 73460535 102844749 122434225 171407915 220381605 239971081 308534247 367302675 514223745 719913243 857039575 1101908025 1199855405 1542671235 2159739729 2571118725 3599566215 5999277025 7713356175 10798698645 17997831075 53993493225