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247252053240 = 233251953682037
BaseRepresentation
bin1110011001000101011…
…1101110110011111000
3212122012102100200211100
43212101113232303320
513022333011200430
6305330325331400
723602064530113
oct3462127566370
9778172320740
10247252053240
119594a37a175
123bb04266b60
131a4149887aa
14bd7789b57a
156671962960
hex39915eecf8

247252053240 has 192 divisors, whose sum is σ = 861823216800. Its totient is φ = 61285026816.

The previous prime is 247252053229. The next prime is 247252053263. The reversal of 247252053240 is 42350252742.

247252053240 is a `hidden beast` number, since 2 + 4 + 72 + 52 + 0 + 532 + 4 + 0 = 666.

247252053240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2472520532402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 247252053195 and 247252053204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21502 + ... + 703538.

Almost surely, 2247252053240 is an apocalyptic number.

247252053240 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 247252053240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430911608400).

247252053240 is an abundant number, since it is smaller than the sum of its proper divisors (614571163560).

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

247252053240 is a wasteful number, since it uses less digits than its factorization.

247252053240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682126 (or 682119 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The spelling of 247252053240 in words is "two hundred forty-seven billion, two hundred fifty-two million, fifty-three thousand, two hundred forty".