Search a number
-
+
146426028624 = 24321016847421
BaseRepresentation
bin1000100001011110101…
…0111110001001010000
3111222221200101221211100
42020113222332021100
54344340030403444
6151133413544400
713402400464431
oct2102752761120
9458850357740
10146426028624
115710a7485a7
1224465945100
1310a66cb37b5
147130c59488
153c1ee5ee69
hex2217abe250

146426028624 has 30 divisors (see below), whose sum is σ = 409789511066. Its totient is φ = 48808676160.

The previous prime is 146426028589. The next prime is 146426028641. The reversal of 146426028624 is 426820624641.

146426028624 is a `hidden beast` number, since 14 + 6 + 4 + 2 + 6 + 0 + 2 + 8 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112783132224 + 33642896400 = 335832^2 + 183420^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146426028624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 508423567 + ... + 508423854.

Almost surely, 2146426028624 is an apocalyptic number.

It is an amenable number.

146426028624 is an abundant number, since it is smaller than the sum of its proper divisors (263363482442).

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

146426028624 is a wasteful number, since it uses less digits than its factorization.

146426028624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016847435 (or 1016847426 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 146426028624 in words is "one hundred forty-six billion, four hundred twenty-six million, twenty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1016847421 2033694842 3050542263 4067389684 6101084526 8134779368 9151626789 12202169052 16269558736 18303253578 24404338104 36606507156 48808676208 73213014312 146426028624