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331438168922112 = 211357731498747
BaseRepresentation
bin100101101011100001111011…
…0010100101101100000000000
31121110112011211212012021200000
41023113003312110231200000
5321420240332221001422
63132524332014400000
7126545421541254540
oct11327036624554000
91543464755167600
10331438168922112
119667415786599a
123120ab30200000
13112c264004b935
145bbb99b713320
15284b702637cac
hex12d70f652d800

331438168922112 has 1152 divisors, whose sum is σ = 1157915932992000. Its totient is φ = 92761957859328.

The previous prime is 331438168922101. The next prime is 331438168922123. The reversal of 331438168922112 is 211229861834133.

331438168922112 is a `hidden beast` number, since 3 + 3 + 1 + 4 + 381 + 68 + 92 + 2 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (331438168922101) and next prime (331438168922123).

It is a tau number, because it is divible by the number of its divisors (1152).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37891634923 + ... + 37891643669.

It is an arithmetic number, because the mean of its divisors is an integer number (1005135358500).

Almost surely, 2331438168922112 is an apocalyptic number.

331438168922112 is a gapful number since it is divisible by the number (32) 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 331438168922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578957966496000).

331438168922112 is an abundant number, since it is smaller than the sum of its proper divisors (826477764069888).

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

331438168922112 is an equidigital number, since it uses as much as digits as its factorization.

331438168922112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9013 (or 8981 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 331438168922112 in words is "three hundred thirty-one trillion, four hundred thirty-eight billion, one hundred sixty-eight million, nine hundred twenty-two thousand, one hundred twelve".