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162641314020 = 22354373318599
BaseRepresentation
bin1001011101111000101…
…1011000000011100100
3120112210202022210200010
42113132023120003210
510131042134022040
6202414423450220
714515255234113
oct2273613300344
9515722283603
10162641314020
1162a80866509
12276302b6970
131244c546523
147c2c62bc7a
15436d7cde80
hex25de2d80e4

162641314020 has 96 divisors (see below), whose sum is σ = 466104038400. Its totient is φ = 42351684480.

The previous prime is 162641314001. The next prime is 162641314049. The reversal of 162641314020 is 20413146261.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18909681 + ... + 18918279.

It is an arithmetic number, because the mean of its divisors is an integer number (4855250400).

Almost surely, 2162641314020 is an apocalyptic number.

162641314020 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 162641314020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233052019200).

162641314020 is an abundant number, since it is smaller than the sum of its proper divisors (303462724380).

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

162641314020 is a wasteful number, since it uses less digits than its factorization.

162641314020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15985 (or 15983 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 162641314020 in words is "one hundred sixty-two billion, six hundred forty-one million, three hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 7331 8599 14662 17198 21993 25797 29324 34396 36655 42995 43986 51594 73310 85990 87972 103188 109965 128985 146620 171980 219930 257970 315233 369757 439860 515940 630466 739514 945699 1109271 1260932 1479028 1576165 1848785 1891398 2218542 3152330 3697570 3782796 4437084 4728495 5546355 6304660 7395140 9456990 11092710 18913980 22185420 63039269 126078538 189117807 252157076 315196345 378235614 630392690 756471228 945589035 1260785380 1891178070 2710688567 3782356140 5421377134 8132065701 10842754268 13553442835 16264131402 27106885670 32528262804 40660328505 54213771340 81320657010 162641314020