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231479119872 = 21234711131741
BaseRepresentation
bin1101011110010100111…
…0110001000000000000
3211010111011210122220000
43113211032301000000
512243032123313442
6254201240520000
722503161024460
oct3274516610000
9733434718800
10231479119872
118a195a23950
1238a41a80000
1318a9cc75620
14b2bcb55ba0
15604bd70d4c
hex35e53b1000

231479119872 has 2080 divisors, whose sum is σ = 1007032207104. Its totient is φ = 50960793600.

The previous prime is 231479119841. The next prime is 231479119877. The reversal of 231479119872 is 278911974132.

231479119872 is a `hidden beast` number, since 2 + 3 + 1 + 479 + 11 + 98 + 72 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (231479119877) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5645832172 + ... + 5645832212.

Almost surely, 2231479119872 is an apocalyptic number.

231479119872 is a gapful number since it is divisible by the number (22) 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 231479119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503516103552).

231479119872 is an abundant number, since it is smaller than the sum of its proper divisors (775553087232).

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

231479119872 is a wasteful number, since it uses less digits than its factorization.

231479119872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 231479119872 in words is "two hundred thirty-one billion, four hundred seventy-nine million, one hundred nineteen thousand, eight hundred seventy-two".