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235005550150304 = 2553617331117133
BaseRepresentation
bin110101011011110001111110…
…010101100100001010100000
31010211002022101212000210101002
4311123301332111210022200
5221300312331314302204
62151452020452131132
7100333406416202333
oct6533617625441240
91124068355023332
10235005550150304
1168975326528a3a
1222435797306aa8
13a118c0b5b499b
14420648790661a
151c2807896391e
hexd5bc7e5642a0

235005550150304 has 96 divisors (see below), whose sum is σ = 485687927514384. Its totient is φ = 111842440519680.

The previous prime is 235005550150279. The next prime is 235005550150321. The reversal of 235005550150304 is 403051055500532.

235005550150304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 125593531749904 + 109412018400400 = 11206852^2 + 10460020^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8006279 + ... + 23110854.

Almost surely, 2235005550150304 is an apocalyptic number.

It is an amenable number.

235005550150304 is an abundant number, since it is smaller than the sum of its proper divisors (250682377364080).

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

235005550150304 is a wasteful number, since it uses less digits than its factorization.

235005550150304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31117330 (or 31117322 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 38.

The spelling of 235005550150304 in words is "two hundred thirty-five trillion, five billion, five hundred fifty million, one hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 53 61 73 106 122 146 212 244 292 424 488 584 848 976 1168 1696 1952 2336 3233 3869 4453 6466 7738 8906 12932 15476 17812 25864 30952 35624 51728 61904 71248 103456 123808 142496 236009 472018 944036 1888072 3776144 7552288 31117133 62234266 124468532 248937064 497874128 995748256 1649208049 1898145113 2271550709 3298416098 3796290226 4543101418 6596832196 7592580452 9086202836 13193664392 15185160904 18172405672 26387328784 30370321808 36344811344 52774657568 60740643616 72689622688 100601690989 120392187577 138564593249 201203381978 240784375154 277129186498 402406763956 481568750308 554258372996 804813527912 963137500616 1108516745992 1609627055824 1926275001232 2217033491984 3219254111648 3852550002464 4434066983968 7343923442197 14687846884394 29375693768788 58751387537576 117502775075152 235005550150304