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231497352008640 = 263351031489174703
BaseRepresentation
bin110100101000101110101101…
…011011101101001111000000
31010100122221010111022001112000
4310220232231123231033000
5220320323034103234030
62140204225414504000
766522063122051124
oct6450565533551700
91110587114261460
10231497352008640
11678425260a3683
1221b698a2965000
139c2315033a723
144124762aa5584
151bb6b9da02860
hexd28bad6ed3c0

231497352008640 has 448 divisors, whose sum is σ = 825158578483200. Its totient is φ = 61091875012608.

The previous prime is 231497352008633. The next prime is 231497352008737. The reversal of 231497352008640 is 46800253794132.

231497352008640 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 9 + 73 + 520 + 0 + 8 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1325003529 + ... + 1325178231.

It is a 1-persistent number, because it is pandigital, but 2⋅231497352008640 = 462994704017280 is not.

Almost surely, 2231497352008640 is an apocalyptic number.

231497352008640 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 231497352008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412579289241600).

231497352008640 is an abundant number, since it is smaller than the sum of its proper divisors (593661226474560).

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

231497352008640 is a wasteful number, since it uses less digits than its factorization.

231497352008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176321 (or 176305 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 231497352008640 in words is "two hundred thirty-one trillion, four hundred ninety-seven billion, three hundred fifty-two million, eight thousand, six hundred forty".