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161606001560166 = 232291731789537811
BaseRepresentation
bin100100101111101011010100…
…010100010000101001100110
3210012012101100002222101001100
4210233223110110100221212
5132140223042344411131
61331412434444140530
746016435241252012
oct4457532424205146
9705171302871040
10161606001560166
11475467a1903749
12161603aab37746
136c234c41113a7
142bc9ab4d2d542
1513a3b2279b7e6
hex92fad4510a66

161606001560166 has 48 divisors (see below), whose sum is σ = 364314107766960. Its totient is φ = 51710484557760.

The previous prime is 161606001560149. The next prime is 161606001560167. The reversal of 161606001560166 is 661065100606161.

161606001560166 is a `hidden beast` number, since 1 + 6 + 16 + 0 + 60 + 0 + 1 + 560 + 16 + 6 = 666.

It is a super-2 number, since 2×1616060015601662 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161606001560167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894678600 + ... + 894859211.

It is an arithmetic number, because the mean of its divisors is an integer number (7589877245145).

Almost surely, 2161606001560166 is an apocalyptic number.

161606001560166 is an abundant number, since it is smaller than the sum of its proper divisors (202708106206794).

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

161606001560166 is a wasteful number, since it uses less digits than its factorization.

161606001560166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789538021 (or 1789538018 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 161606001560166 in words is "one hundred sixty-one trillion, six hundred six billion, one million, five hundred sixty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 58 87 173 174 261 346 519 522 1038 1557 3114 5017 10034 15051 30102 45153 90306 1789537811 3579075622 5368613433 10737226866 16105840299 32211680598 51896596519 103793193038 155689789557 309590041303 311379579114 467069368671 619180082606 928770123909 934138737342 1857540247818 2786310371727 5572620743454 8978111197787 17956222395574 26934333593361 53868667186722 80803000780083 161606001560166