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231914906496 = 27327133171363
BaseRepresentation
bin1101011111111100110…
…1001010001110000000
3211011121112210220202100
43113333031022032000
512244430204001441
6254312405150400
722520032115430
oct3277715121600
9734545726670
10231914906496
118a399a11889
1238b439bb400
1318b3c336a30
14b3209942c0
156075252cb6
hex35ff34a380

231914906496 has 384 divisors, whose sum is σ = 847872829440. Its totient is φ = 59190497280.

The previous prime is 231914906479. The next prime is 231914906497. The reversal of 231914906496 is 694609419132.

It is a happy number.

231914906496 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 1 + 490 + 64 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231914906497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3214111 + ... + 3285473.

It is an arithmetic number, because the mean of its divisors is an integer number (2208002160).

Almost surely, 2231914906496 is an apocalyptic number.

231914906496 is a gapful number since it is divisible by the number (26) 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 231914906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423936414720).

231914906496 is an abundant number, since it is smaller than the sum of its proper divisors (615957922944).

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

231914906496 is a wasteful number, since it uses less digits than its factorization.

231914906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71434 (or 71419 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 231914906496 in words is "two hundred thirty-one billion, nine hundred fourteen million, nine hundred six thousand, four hundred ninety-six".