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161952242925312 = 2833753131482101
BaseRepresentation
bin100100110100101101110001…
…111010001111111100000000
3210020102111001021012010201000
4210310231301322033330000
5132211411143142102222
61332235455554212000
746053443361303120
oct4464556172177400
9706374037163630
10161952242925312
114766a619054aa4
12161b751a584000
136c4a053099608
142bdc75d51ac80
1513acb398559ac
hex934b71e8ff00

161952242925312 has 576 divisors, whose sum is σ = 561923898117120. Its totient is φ = 45052360704000.

The previous prime is 161952242925307. The next prime is 161952242925409. The reversal of 161952242925312 is 213529242259161.

161952242925312 is a `hidden beast` number, since 1 + 6 + 19 + 5 + 2 + 2 + 4 + 2 + 92 + 531 + 2 = 666.

161952242925312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 335689062 + ... + 336171162.

It is an arithmetic number, because the mean of its divisors is an integer number (975562323120).

Almost surely, 2161952242925312 is an apocalyptic number.

161952242925312 is a gapful number since it is divisible by the number (12) 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 161952242925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280961949058560).

161952242925312 is an abundant number, since it is smaller than the sum of its proper divisors (399971655191808).

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

161952242925312 is a wasteful number, since it uses less digits than its factorization.

161952242925312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482317 (or 482297 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 161952242925312 in words is "one hundred sixty-one trillion, nine hundred fifty-two billion, two hundred forty-two million, nine hundred twenty-five thousand, three hundred twelve".