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235700720640 = 210345711361
BaseRepresentation
bin1101101110000011011…
…0111001010000000000
3211112101101111012110000
43123200312321100000
512330203341030030
6300140204240000
723012612032440
oct3334066712000
9745341435400
10235700720640
1190a61a04000
123981b840000
13192c3775248
14b59d6b2120
1561e77ba860
hex36e0db9400

235700720640 has 1760 divisors, whose sum is σ = 1079138573568. Its totient is φ = 48173875200.

The previous prime is 235700720621. The next prime is 235700720657. The reversal of 235700720640 is 46027007532.

It is a happy number.

235700720640 is a `hidden beast` number, since 2 + 3 + 5 + 7 + 0 + 0 + 7 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

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 = 235700720595 and 235700720604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3863946210 + ... + 3863946270.

Almost surely, 2235700720640 is an apocalyptic number.

235700720640 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 235700720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539569286784).

235700720640 is an abundant number, since it is smaller than the sum of its proper divisors (843437852928).

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

235700720640 is an equidigital number, since it uses as much as digits as its factorization.

235700720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 235700720640 in words is "two hundred thirty-five billion, seven hundred million, seven hundred twenty thousand, six hundred forty".