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253698896880 = 24335111319139311
BaseRepresentation
bin1110110001000110100…
…0011111001111110000
3220020211201020021202000
43230101220133033300
513124033404200010
6312314143454000
724220616020452
oct3542150371760
9806751207660
10253698896880
1198658460220
12412032b7300
131ac014b7680
14c3c9b862d2
1568ec9137c0
hex3b11a1f3f0

253698896880 has 1280 divisors, whose sum is σ = 1091930112000. Its totient is φ = 53225164800.

The previous prime is 253698896879. The next prime is 253698896881. The reversal of 253698896880 is 88698896352.

253698896880 is a `hidden beast` number, since 2 + 536 + 9 + 8 + 8 + 9 + 6 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (253698896879) and next prime (253698896881).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 253698896799 and 253698896808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253698896881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 815751925 + ... + 815752235.

It is an arithmetic number, because the mean of its divisors is an integer number (853070400).

Almost surely, 2253698896880 is an apocalyptic number.

253698896880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253698896880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545965056000).

253698896880 is an abundant number, since it is smaller than the sum of its proper divisors (838231215120).

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

253698896880 is a wasteful number, since it uses less digits than its factorization.

253698896880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 253698896880 in words is "two hundred fifty-three billion, six hundred ninety-eight million, eight hundred ninety-six thousand, eight hundred eighty".