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248613453828 = 223260937113329
BaseRepresentation
bin1110011110001010000…
…1000100000000000100
3212202201022002000100100
43213202201010000010
513033130021010303
6310113401044100
723650605330045
oct3474241040004
9782638060310
10248613453828
11964888a4623
1240224186630
131a5a0a4107c
14c0666028cc
1567012308a3
hex39e2844004

248613453828 has 36 divisors (see below), whose sum is σ = 628455422140. Its totient is φ = 82869060096.

The previous prime is 248613453817. The next prime is 248613453833. The reversal of 248613453828 is 828354316842.

248613453828 is a `hidden beast` number, since 2 + 4 + 86 + 1 + 3 + 4 + 538 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111240926784 + 137372527044 = 333528^2 + 370638^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2137068 + ... + 2250396.

Almost surely, 2248613453828 is an apocalyptic number.

It is an amenable number.

248613453828 is an abundant number, since it is smaller than the sum of its proper divisors (379841968312).

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

248613453828 is a wasteful number, since it uses less digits than its factorization.

248613453828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174276 (or 174271 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 248613453828 in words is "two hundred forty-eight billion, six hundred thirteen million, four hundred fifty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 60937 113329 121874 182811 226658 243748 339987 365622 453316 548433 679974 731244 1019961 1096866 1359948 2039922 2193732 4079844 6905929273 13811858546 20717787819 27623717092 41435575638 62153363457 82871151276 124306726914 248613453828