Search a number
-
+
164196162816 = 283730542441
BaseRepresentation
bin1001100011101011011…
…0101001110100000000
3120200211010001022020120
42120322312221310000
510142233204202231
6203233005340240
714601635233020
oct2307266516400
9520733038216
10164196162816
11636a94a9414
12279a4b67680
1312639700bba
147d38d2ba80
15441005ed96
hex263ada9d00

164196162816 has 72 divisors (see below), whose sum is σ = 499430011584. Its totient is φ = 46913187840.

The previous prime is 164196162791. The next prime is 164196162827. The reversal of 164196162816 is 618261691461.

It is a happy number.

It is a super-3 number, since 3×1641961628163 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15265845 + ... + 15276596.

Almost surely, 2164196162816 is an apocalyptic number.

164196162816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164196162816 is an abundant number, since it is smaller than the sum of its proper divisors (335233848768).

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

164196162816 is an equidigital number, since it uses as much as digits as its factorization.

164196162816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30542467 (or 30542453 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The spelling of 164196162816 in words is "one hundred sixty-four billion, one hundred ninety-six million, one hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 30542441 61084882 91627323 122169764 183254646 213797087 244339528 366509292 427594174 488679056 641391261 733018584 855188348 977358112 1282782522 1466037168 1710376696 1954716224 2565565044 2932074336 3420753392 3909432448 5131130088 5864148672 6841506784 7818864896 10262260176 11728297344 13683013568 20524520352 23456594688 27366027136 41049040704 54732054272 82098081408 164196162816