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235425086064 = 2434729259523
BaseRepresentation
bin1101101101000001101…
…1011011101001110000
3211111200011211111220000
43123100123123221300
512324122310223224
6300053000350000
723003024133210
oct3332033335160
9744604744800
10235425086064
1190930361733
1239763475300
131927b62886c
14b574c42240
1561cd4c10c9
hex36d06dba70

235425086064 has 600 divisors, whose sum is σ = 821746273920. Its totient is φ = 63722018304.

The previous prime is 235425086063. The next prime is 235425086069. The reversal of 235425086064 is 460680524532.

235425086064 is a `hidden beast` number, since 2 + 35 + 4 + 2 + 5 + 0 + 8 + 606 + 4 = 666.

It is a super-2 number, since 2×2354250860642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235425086063) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 450143307 + ... + 450143829.

Almost surely, 2235425086064 is an apocalyptic number.

235425086064 is a gapful number since it is divisible by the number (24) 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 235425086064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410873136960).

235425086064 is an abundant number, since it is smaller than the sum of its proper divisors (586321187856).

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

235425086064 is a wasteful number, since it uses less digits than its factorization.

235425086064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 235425086064 in words is "two hundred thirty-five billion, four hundred twenty-five million, eighty-six thousand, sixty-four".