Search a number
-
+
168945515424 = 253479311371
BaseRepresentation
bin1001110101010111101…
…1111111101110100000
3121011002002210102020000
42131111323333232200
510232000022443144
6205340144420000
715130425121050
oct2352573775640
9534062712200
10168945515424
1165716380314
12288ab617600
1312c1565150a
1482699c5560
1545dbea5769
hex2755effba0

168945515424 has 120 divisors (see below), whose sum is σ = 567844710048. Its totient is φ = 48270142080.

The previous prime is 168945515399. The next prime is 168945515443. The reversal of 168945515424 is 424515549861.

It is a happy number.

168945515424 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 45 + 51 + 542 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4637542 + ... + 4673829.

Almost surely, 2168945515424 is an apocalyptic number.

168945515424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

168945515424 is an abundant number, since it is smaller than the sum of its proper divisors (398899194624).

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

168945515424 is an equidigital number, since it uses as much as digits as its factorization.

168945515424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9311400 (or 9311383 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 54.

The spelling of 168945515424 in words is "one hundred sixty-eight billion, nine hundred forty-five million, five hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 9311371 18622742 27934113 37245484 55868226 65179597 74490968 83802339 111736452 130359194 148981936 167604678 195538791 223472904 251407017 260718388 297963872 335209356 391077582 446945808 502814034 521436776 586616373 670418712 754221051 782155164 893891616 1005628068 1042873552 1173232746 1340837424 1508442102 1564310328 1759849119 2011256136 2085747104 2346465492 2681674848 3016884204 3128620656 3519698238 4022512272 4692930984 5279547357 6033768408 6257241312 7039396476 8045024544 9385861968 10559094714 12067536816 14078792952 18771723936 21118189428 24135073632 28157585904 42236378856 56315171808 84472757712 168945515424