Search a number
-
+
90147110736 = 2437145757881
BaseRepresentation
bin101001111110100101…
…1111011111101010000
322121200111200201010010
41103331023323331100
52434110130020421
6105225113234520
76340633540554
oct1237513737520
9277614621103
1090147110736
113525a76a611
121557a102a40
13866844c057
144512673864
15252923a076
hex14fd2fbf50

90147110736 has 80 divisors (see below), whose sum is σ = 236680887168. Its totient is φ = 29560473600.

The previous prime is 90147110681. The next prime is 90147110771. The reversal of 90147110736 is 63701174109.

It is a junction number, because it is equal to n+sod(n) for n = 90147110694 and 90147110703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528516 + ... + 1586396.

Almost surely, 290147110736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90147110736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118340443584).

90147110736 is an abundant number, since it is smaller than the sum of its proper divisors (146533776432).

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

90147110736 is a wasteful number, since it uses less digits than its factorization.

90147110736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58420 (or 58414 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 90147110736 in words is "ninety billion, one hundred forty-seven million, one hundred ten thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 457 568 852 914 1136 1371 1704 1828 2742 3408 3656 5484 7312 10968 21936 32447 57881 64894 97341 115762 129788 173643 194682 231524 259576 347286 389364 463048 519152 694572 778728 926096 1389144 1557456 2778288 4109551 8219102 12328653 16438204 24657306 26451617 32876408 49314612 52903234 65752816 79354851 98629224 105806468 158709702 197258448 211612936 317419404 423225872 634838808 1269677616 1878064807 3756129614 5634194421 7512259228 11268388842 15024518456 22536777684 30049036912 45073555368 90147110736