Search a number
-
+
254421030445152 = 25316991559869963
BaseRepresentation
bin111001110110010100000011…
…001001001010000001100000
31020100211102011001112200220020
4321312110003021022001200
5231321413232243221102
62301035224032313440
7104406212211552204
oct7166240311120140
91210742131480806
10254421030445152
1174080397a4208a
12246506003a2880
13abc6a531301ac
1446b808780ab04
151e6311ca15bbc
hexe7650324a060

254421030445152 has 48 divisors (see below), whose sum is σ = 668248292577600. Its totient is φ = 84757094255232.

The previous prime is 254421030445133. The next prime is 254421030445157. The reversal of 254421030445152 is 251544030124452.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254421030445157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 779771878 + ... + 780098085.

It is an arithmetic number, because the mean of its divisors is an integer number (13921839428700).

Almost surely, 2254421030445152 is an apocalyptic number.

It is an amenable number.

254421030445152 is an abundant number, since it is smaller than the sum of its proper divisors (413827262132448).

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

254421030445152 is a wasteful number, since it uses less digits than its factorization.

254421030445152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559871675 (or 1559871667 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 254421030445152 in words is "two hundred fifty-four trillion, four hundred twenty-one billion, thirty million, four hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1699 3398 5097 6796 10194 13592 20388 27184 40776 54368 81552 163104 1559869963 3119739926 4679609889 6239479852 9359219778 12478959704 18718439556 24957919408 37436879112 49915838816 74873758224 149747516448 2650219067137 5300438134274 7950657201411 10600876268548 15901314402822 21201752537096 31802628805644 42403505074192 63605257611288 84807010148384 127210515222576 254421030445152