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163442541544360 = 235132229312133829
BaseRepresentation
bin100101001010011001101110…
…101000010100001110101000
3210102200221202201222001121221
4211022121232220110032220
5132410320311113404420
61335340244513511424
746266222354455161
oct4512315650241650
9712627681861557
10163442541544360
1148094657844281
12163b8314572574
13702774762bb00
142c50938558768
1513d67b017bcaa
hex94a66ea143a8

163442541544360 has 192 divisors, whose sum is σ = 400088742606000. Its totient is φ = 60063459655680.

The previous prime is 163442541544343. The next prime is 163442541544417. The reversal of 163442541544360 is 63445145244361.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 32742817513956 + 130699724030404 = 5722134^2 + 11432398^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 163442541544298 and 163442541544307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4831415926 + ... + 4831449754.

Almost surely, 2163442541544360 is an apocalyptic number.

163442541544360 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 163442541544360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200044371303000).

163442541544360 is an abundant number, since it is smaller than the sum of its proper divisors (236646201061640).

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

163442541544360 is a wasteful number, since it uses less digits than its factorization.

163442541544360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37216 (or 37199 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 52.

The spelling of 163442541544360 in words is "one hundred sixty-three trillion, four hundred forty-two billion, five hundred forty-one million, five hundred forty-four thousand, three hundred sixty".