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161829118160 = 2452022863977
BaseRepresentation
bin1001011010110111000…
…1000110000011010000
3120110201011000222101222
42112231301012003100
510122411223240120
6202202051344212
714456163544133
oct2265561060320
9513634028358
10161829118160
11626a4355766
12274442b2068
13123501b3468
147b9280a21a
154322348525
hex25adc460d0

161829118160 has 20 divisors (see below), whose sum is σ = 376252699908. Its totient is φ = 64731647232.

The previous prime is 161829118141. The next prime is 161829118163. The reversal of 161829118160 is 61811928161.

161829118160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 38068692544 + 123760425616 = 195112^2 + 351796^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161829118163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1011431909 + ... + 1011432068.

Almost surely, 2161829118160 is an apocalyptic number.

161829118160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161829118160 is an abundant number, since it is smaller than the sum of its proper divisors (214423581748).

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

161829118160 is a wasteful number, since it uses less digits than its factorization.

161829118160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022863990 (or 2022863984 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 44.

The spelling of 161829118160 in words is "one hundred sixty-one billion, eight hundred twenty-nine million, one hundred eighteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2022863977 4045727954 8091455908 10114319885 16182911816 20228639770 32365823632 40457279540 80914559080 161829118160