Search a number
-
+
146609786092 = 227114673101863
BaseRepresentation
bin1000100010001010011…
…1111100110011101100
3112000102111011210200111
42020202213330303230
54400224101123332
6151203540305404
713410061422460
oct2104247746354
9460374153614
10146609786092
11571a4447280
12244b73a2264
1310a960a1a23
14714b4104a0
153c3115b947
hex22229fccec

146609786092 has 48 divisors (see below), whose sum is σ = 319947489792. Its totient is φ = 57107911680.

The previous prime is 146609785991. The next prime is 146609786117. The reversal of 146609786092 is 290687906641.

It is a happy number.

146609786092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1388353 + ... + 1490215.

It is an arithmetic number, because the mean of its divisors is an integer number (6665572704).

Almost surely, 2146609786092 is an apocalyptic number.

It is an amenable number.

146609786092 is an abundant number, since it is smaller than the sum of its proper divisors (173337703700).

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

146609786092 is a wasteful number, since it uses less digits than its factorization.

146609786092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106558 (or 106556 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 146609786092 in words is "one hundred forty-six billion, six hundred nine million, seven hundred eighty-six thousand, ninety-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 4673 9346 18692 32711 51403 65422 101863 102806 130844 203726 205612 359821 407452 713041 719642 1120493 1426082 1439284 2240986 2852164 4481972 7843451 15686902 31373804 476005799 952011598 1904023196 3332040593 5236063789 6664081186 10472127578 13328162372 20944255156 36652446523 73304893046 146609786092