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252463406090 = 257223103217489
BaseRepresentation
bin1110101100011111111…
…1011101110000001010
3220010122121102211222212
43223013333131300022
513114021112443330
6311551410545122
724145164354500
oct3530777356012
9803577384885
10252463406090
1198084013755
1240b195981a2
131aa65547c2c
14c30da58670
156879217295
hex3ac7fddc0a

252463406090 has 96 divisors (see below), whose sum is σ = 556969271040. Its totient is φ = 81991236096.

The previous prime is 252463406089. The next prime is 252463406099. The reversal of 252463406090 is 90604364252.

It is not an unprimeable number, because it can be changed into a prime (252463406099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052066 + ... + 1269554.

It is an arithmetic number, because the mean of its divisors is an integer number (5801763240).

Almost surely, 2252463406090 is an apocalyptic number.

252463406090 is an abundant number, since it is smaller than the sum of its proper divisors (304505864950).

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

252463406090 is a wasteful number, since it uses less digits than its factorization.

252463406090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217636 (or 217629 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 252463406090 in words is "two hundred fifty-two billion, four hundred sixty-three million, four hundred six thousand, ninety".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 103 115 161 206 230 245 322 490 515 721 805 1030 1127 1442 1610 2254 2369 3605 4738 5047 5635 7210 10094 11270 11845 16583 23690 25235 33166 50470 82915 116081 165830 217489 232162 434978 580405 1087445 1160810 1522423 2174890 3044846 5002247 7612115 10004494 10656961 15224230 21313922 22401367 25011235 35015729 44802734 50022470 53284805 70031458 106569610 112006835 156809569 175078645 224013670 245110103 313619138 350157290 490220206 515231441 784047845 1030462882 1097666983 1225550515 1568095690 2195333966 2451101030 2576157205 3606620087 5152314410 5488334915 7213240174 10976669830 18033100435 25246340609 36066200870 50492681218 126231703045 252463406090