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253404266004 = 22327039007389
BaseRepresentation
bin1110110000000000010…
…0100011111000010100
3220020002011211111011100
43230000010203320110
513122432443003004
6312225020510100
724210410502351
oct3540004437024
9806064744140
10253404266004
119851711372a
12411406ab330
131ab85449686
14c39c9ad628
1568d1b15739
hex3b00123e14

253404266004 has 18 divisors (see below), whose sum is σ = 640549672490. Its totient is φ = 84468088656.

The previous prime is 253404265979. The next prime is 253404266153. The reversal of 253404266004 is 400662404352.

253404266004 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 0 + 42 + 6 + 600 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 145755968400 + 107648297604 = 381780^2 + 328098^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 7039007389 = 253404266004 / (2 + 5 + 3 + 4 + 0 + 4 + 2 + 6 + 6 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 253404266004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3519503659 + ... + 3519503730.

Almost surely, 2253404266004 is an apocalyptic number.

It is an amenable number.

253404266004 is an abundant number, since it is smaller than the sum of its proper divisors (387145406486).

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

253404266004 is a wasteful number, since it uses less digits than its factorization.

253404266004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7039007399 (or 7039007394 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 253404266004 in words is "two hundred fifty-three billion, four hundred four million, two hundred sixty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 7039007389 14078014778 21117022167 28156029556 42234044334 63351066501 84468088668 126702133002 253404266004