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146791460048 = 2415217602909
BaseRepresentation
bin1000100010110101110…
…0111110110011010000
3112000220011000210111112
42020231130332303100
54401112103210143
6151233550232452
713414425552242
oct2105534766320
9460804023445
10146791460048
1157287a52642
12245481b5728
1310ac49107cc
1471675c2092
153c42095e18
hex222d73ecd0

146791460048 has 20 divisors (see below), whose sum is σ = 284427615780. Its totient is φ = 73390785024.

The previous prime is 146791460041. The next prime is 146791460071. The reversal of 146791460048 is 840064197641.

146791460048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 105113420944 + 41678039104 = 324212^2 + 204152^2 .

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 146791459978 and 146791460005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146791460041) 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 3 ways as a sum of consecutive naturals, for example, 57983 + ... + 544926.

It is an arithmetic number, because the mean of its divisors is an integer number (14221380789).

Almost surely, 2146791460048 is an apocalyptic number.

It is an amenable number.

146791460048 is a deficient number, since it is larger than the sum of its proper divisors (137636155732).

146791460048 is a wasteful number, since it uses less digits than its factorization.

146791460048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618134 (or 618128 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 146791460048 in words is "one hundred forty-six billion, seven hundred ninety-one million, four hundred sixty thousand, forty-eight".

Divisors: 1 2 4 8 16 15217 30434 60868 121736 243472 602909 1205818 2411636 4823272 9646544 9174466253 18348932506 36697865012 73395730024 146791460048