Search a number
-
+
146684413349768 = 2376319941446297
BaseRepresentation
bin100001010110100010100000…
…010110100000111110001000
3201020100220002222020121201102
4201112202200112200332020
5123211234134304143033
61235545520023240532
742616412335215650
oct4126424026407610
9636326088217642
10146684413349768
1142813568310278
12145505092a9148
1363b0385c8ac68
1428317c62cb360
1511e58e8e84de8
hex8568a05a0f88

146684413349768 has 32 divisors (see below), whose sum is σ = 314328724032000. Its totient is φ = 62863752350592.

The previous prime is 146684413349743. The next prime is 146684413349801. The reversal of 146684413349768 is 867943314486641.

It is a hoax number, since the sum of its digits (74) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 146684413349695 and 146684413349704.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17184005 + ... + 24262292.

It is an arithmetic number, because the mean of its divisors is an integer number (9822772626000).

Almost surely, 2146684413349768 is an apocalyptic number.

It is an amenable number.

146684413349768 is an abundant number, since it is smaller than the sum of its proper divisors (167644310682232).

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

146684413349768 is a wasteful number, since it uses less digits than its factorization.

146684413349768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41509509 (or 41509505 counting only the distinct ones).

The product of its digits is 2006581248, while the sum is 74.

The spelling of 146684413349768 in words is "one hundred forty-six trillion, six hundred eighty-four billion, four hundred thirteen million, three hundred forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 63199 126398 252796 442393 505592 884786 1769572 3539144 41446297 82892594 165785188 290124079 331570376 580248158 1160496316 2320992632 2619364524103 5238729048206 10477458096412 18335551668721 20954916192824 36671103337442 73342206674884 146684413349768