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231796195158528 = 293272112132332801
BaseRepresentation
bin110100101101000101000001…
…110111110110101000000000
31010101201111111101102000020200
4310231011001313312220000
5220340222101430033103
62140553411344405200
766552502541652600
oct6455050167665000
91111644441360220
10231796195158528
116794823a286300
1221bb77a4916800
139c453975a2330
144134dd230ac00
151bbe83e84b0a3
hexd2d141df6a00

231796195158528 has 2160 divisors, whose sum is σ = 925459689242088. Its totient is φ = 55317233664000.

The previous prime is 231796195158511. The next prime is 231796195158529. The reversal of 231796195158528 is 825851591697132.

231796195158528 is a `hidden beast` number, since 2 + 3 + 1 + 7 + 9 + 6 + 1 + 9 + 515 + 85 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125995057461504 + 105801137697024 = 11224752^2 + 10285968^2 .

It is a super-2 number, since 2×2317961951585282 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (231796195158529) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 82754798728 + ... + 82754801528.

Almost surely, 2231796195158528 is an apocalyptic number.

231796195158528 is a gapful number since it is divisible by the number (28) 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 231796195158528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462729844621044).

231796195158528 is an abundant number, since it is smaller than the sum of its proper divisors (693663494083560).

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

231796195158528 is a wasteful number, since it uses less digits than its factorization.

231796195158528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3070 counting only the distinct ones).

The product of its digits is 326592000, while the sum is 72.

The spelling of 231796195158528 in words is "two hundred thirty-one trillion, seven hundred ninety-six billion, one hundred ninety-five million, one hundred fifty-eight thousand, five hundred twenty-eight".