Search a number
-
+
146829601488 = 24310392944129
BaseRepresentation
bin1000100010111110111…
…0011110101011010000
3112000222210210120201110
42020233232132223100
54401201334221423
6151241431533320
713415401006623
oct2105756365320
9460883716643
10146829601488
11572a7533899
1224558b2a240
1310acc7a63cb
14716c6addba
153c455cc193
hex222fb9ead0

146829601488 has 40 divisors (see below), whose sum is σ = 379675004800. Its totient is φ = 48896077824.

The previous prime is 146829601439. The next prime is 146829601519. The reversal of 146829601488 is 884106928641.

It is a happy number.

146829601488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1422193 + ... + 1521936.

It is an arithmetic number, because the mean of its divisors is an integer number (9491875120).

Almost surely, 2146829601488 is an apocalyptic number.

It is an amenable number.

146829601488 is an abundant number, since it is smaller than the sum of its proper divisors (232845403312).

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

146829601488 is a wasteful number, since it uses less digits than its factorization.

146829601488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945179 (or 2945173 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 146829601488 in words is "one hundred forty-six billion, eight hundred twenty-nine million, six hundred one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 1039 2078 3117 4156 6234 8312 12468 16624 24936 49872 2944129 5888258 8832387 11776516 17664774 23553032 35329548 47106064 70659096 141318192 3058950031 6117900062 9176850093 12235800124 18353700186 24471600248 36707400372 48943200496 73414800744 146829601488