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180342296849260 = 225721325983229971
BaseRepresentation
bin101001000000010100110110…
…100010101010101101101100
3212122112112222202002011000101
4221000110312202222231230
5142114212010443134020
61435320035112440444
752662205143425500
oct5100246642525554
9778475882064011
10180342296849260
115250a81406a487
12182876663a9124
13798228999a300
143276884164300
1515cb1b4d4c00a
hexa405368aab6c

180342296849260 has 864 divisors, whose sum is σ = 493628098924800. Its totient is φ = 55133086095360.

The previous prime is 180342296849171. The next prime is 180342296849291. The reversal of 180342296849260 is 62948692243081.

It is a super-2 number, since 2×1803422968492602 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 180342296849192 and 180342296849201.

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, 185728420575 + ... + 185728421545.

It is an arithmetic number, because the mean of its divisors is an integer number (571328818200).

Almost surely, 2180342296849260 is an apocalyptic number.

180342296849260 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 180342296849260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246814049462400).

180342296849260 is an abundant number, since it is smaller than the sum of its proper divisors (313285802075540).

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

180342296849260 is a wasteful number, since it uses less digits than its factorization.

180342296849260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 64.

The spelling of 180342296849260 in words is "one hundred eighty trillion, three hundred forty-two billion, two hundred ninety-six million, eight hundred forty-nine thousand, two hundred sixty".