Search a number
-
+
168269418336 = 2539671812623
BaseRepresentation
bin1001110010110110100…
…0111000111101100000
3121002022222121010101010
42130231220320331200
510224103432341321
6205145113340520
715104605312365
oct2345550707540
9532288533333
10168269418336
11653a9777598
1228741107740
1312b38560b76
148203cb046c
15459c955676
hex272da38f60

168269418336 has 48 divisors (see below), whose sum is σ = 442164248064. Its totient is φ = 56031771264.

The previous prime is 168269418293. The next prime is 168269418337. The reversal of 168269418336 is 633814962861.

168269418336 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168269418337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 813480 + ... + 999143.

It is an arithmetic number, because the mean of its divisors is an integer number (9211755168).

Almost surely, 2168269418336 is an apocalyptic number.

168269418336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

168269418336 is an abundant number, since it is smaller than the sum of its proper divisors (273894829728).

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

168269418336 is a wasteful number, since it uses less digits than its factorization.

168269418336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813603 (or 1813595 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 168269418336 in words is "one hundred sixty-eight billion, two hundred sixty-nine million, four hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 967 1934 2901 3868 5802 7736 11604 15472 23208 30944 46416 92832 1812623 3625246 5437869 7250492 10875738 14500984 21751476 29001968 43502952 58003936 87005904 174011808 1752806441 3505612882 5258419323 7011225764 10516838646 14022451528 21033677292 28044903056 42067354584 56089806112 84134709168 168269418336