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161240387097600 = 210335217312109131
BaseRepresentation
bin100100101010010110110011…
…111111110001010000000000
3210010220102121210212021211000
4210222112303333301100000
5132113230303044110400
61330532451121252000
745651143050511166
oct4452266377612000
9703812553767730
10161240387097600
1147415733a96588
1216101573494000
136bc7b98606305
142bb610d807236
151399374a0a600
hex92a5b3ff1400

161240387097600 has 3168 divisors, whose sum is σ = 658761026774400. Its totient is φ = 38507249664000.

The previous prime is 161240387097533. The next prime is 161240387097637. The reversal of 161240387097600 is 6790783042161.

161240387097600 is a `hidden beast` number, since 1 + 6 + 1 + 24 + 0 + 3 + 8 + 7 + 0 + 9 + 7 + 600 = 666.

161240387097600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 1230842649535 + ... + 1230842649665.

It is an arithmetic number, because the mean of its divisors is an integer number (207942243300).

Almost surely, 2161240387097600 is an apocalyptic number.

161240387097600 is a gapful number since it is divisible by the number (10) 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 161240387097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329380513387200).

161240387097600 is an abundant number, since it is smaller than the sum of its proper divisors (497520639676800).

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

161240387097600 is a wasteful number, since it uses less digits than its factorization.

161240387097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 161240387097600 in words is "one hundred sixty-one trillion, two hundred forty billion, three hundred eighty-seven million, ninety-seven thousand, six hundred".