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258201874148 = 22401160973737
BaseRepresentation
bin1111000001111000000…
…1111110111011100100
3220200110112101020021212
43300132001332323210
513212244134433043
6314341042130552
724440324501201
oct3603601767344
9820415336255
10258201874148
119a559254739
124205b350a58
131b46b39436a
14c6d5c28ca8
156ab2dde018
hex3c1e07eee4

258201874148 has 12 divisors (see below), whose sum is σ = 452980098732. Its totient is φ = 128778988800.

The previous prime is 258201874123. The next prime is 258201874153. The reversal of 258201874148 is 841478102852.

258201874148 is digitally balanced in base 3, 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 2 ways, for example, as 215910774244 + 42291099904 = 464662^2 + 205648^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 258201874096 and 258201874105.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80485265 + ... + 80488472.

It is an arithmetic number, because the mean of its divisors is an integer number (37748341561).

Almost surely, 2258201874148 is an apocalyptic number.

It is an amenable number.

258201874148 is a deficient number, since it is larger than the sum of its proper divisors (194778224584).

258201874148 is a wasteful number, since it uses less digits than its factorization.

258201874148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160974142 (or 160974140 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 50.

The spelling of 258201874148 in words is "two hundred fifty-eight billion, two hundred one million, eight hundred seventy-four thousand, one hundred forty-eight".

Divisors: 1 2 4 401 802 1604 160973737 321947474 643894948 64550468537 129100937074 258201874148