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231873596136 = 233371353733049
BaseRepresentation
bin1101011111110010111…
…1100100101011101000
3211011111200002010121000
43113330233210223220
512244334120034021
6254304331515000
722516021022160
oct3277457445350
9734450063530
10231873596136
118a378666796
1238b31bb8a60
1318b33901930
14b3192bd5a0
1560717e2b26
hex35fcbe4ae8

231873596136 has 512 divisors, whose sum is σ = 819020160000. Its totient is φ = 59158315008.

The previous prime is 231873596131. The next prime is 231873596147. The reversal of 231873596136 is 631695378132.

231873596136 is a `hidden beast` number, since 2 + 3 + 18 + 7 + 3 + 5 + 9 + 613 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (231873596131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76047540 + ... + 76050588.

It is an arithmetic number, because the mean of its divisors is an integer number (1599648750).

Almost surely, 2231873596136 is an apocalyptic number.

231873596136 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 231873596136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409510080000).

231873596136 is an abundant number, since it is smaller than the sum of its proper divisors (587146563864).

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

231873596136 is a wasteful number, since it uses less digits than its factorization.

231873596136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3200 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 231873596136 in words is "two hundred thirty-one billion, eight hundred seventy-three million, five hundred ninety-six thousand, one hundred thirty-six".