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248500005660 = 223251380555587
BaseRepresentation
bin1110011101101111000…
…0010010101100011100
3212202102101121020201100
43213123300102230130
513032412000140120
6310054225313100
723645030124264
oct3473360225434
9782371536640
10248500005660
119642a858305
12401b2195790
131a58339c38a
14c0555107a4
1566e62c1490
hex39dbc12b1c

248500005660 has 36 divisors (see below), whose sum is σ = 753783351048. Its totient is φ = 66266668128.

The previous prime is 248500005643. The next prime is 248500005667. The reversal of 248500005660 is 66500005842.

248500005660 is a `hidden beast` number, since 2 + 48 + 50 + 0 + 0 + 0 + 566 + 0 = 666.

248500005660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248500005667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 690277614 + ... + 690277973.

It is an arithmetic number, because the mean of its divisors is an integer number (20938426418).

Almost surely, 2248500005660 is an apocalyptic number.

248500005660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248500005660 is an abundant number, since it is smaller than the sum of its proper divisors (505283345388).

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

248500005660 is a wasteful number, since it uses less digits than its factorization.

248500005660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380555602 (or 1380555597 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 248500005660 in words is "two hundred forty-eight billion, five hundred million, five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1380555587 2761111174 4141666761 5522222348 6902777935 8283333522 12425000283 13805555870 16566667044 20708333805 24850000566 27611111740 41416667610 49700001132 62125001415 82833335220 124250002830 248500005660