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253528426008 = 233511213174877
BaseRepresentation
bin1110110000011101111…
…0001100011000011000
3220020101211110110200000
43230013132030120120
513123211234113013
6312245214013000
724213446031024
oct3540736143030
9806354413600
10253528426008
1198580206a00
12411761a7160
131aba509bc30
14c3b128d384
1568dc98d973
hex3b0778c618

253528426008 has 576 divisors, whose sum is σ = 892661122080. Its totient is φ = 66731765760.

The previous prime is 253528426003. The next prime is 253528426031. The reversal of 253528426008 is 800624825352.

253528426008 is a `hidden beast` number, since 2 + 5 + 35 + 2 + 8 + 4 + 2 + 600 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253528426003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51982066 + ... + 51986942.

Almost surely, 2253528426008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253528426008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446330561040).

253528426008 is an abundant number, since it is smaller than the sum of its proper divisors (639132696072).

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

253528426008 is a wasteful number, since it uses less digits than its factorization.

253528426008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 253528426008 in words is "two hundred fifty-three billion, five hundred twenty-eight million, four hundred twenty-six thousand, eight".