Search a number
-
+
90200073010044 = 2238599379338839
BaseRepresentation
bin10100100000100101010111…
…010011110111101101111100
3102211101001011011202020220110
4110200211113103313231330
543310314222142310134
6515501201432350020
724666511616143134
oct2440452723675574
9384331134666813
1090200073010044
11268166aa780938
12a149465b45310
133b43aa44904ca
14183b9c776bac4
15a6649e4237e9
hex5209574f7b7c

90200073010044 has 48 divisors (see below), whose sum is σ = 210936752633600. Its totient is φ = 29999634926976.

The previous prime is 90200073010043. The next prime is 90200073010051. The reversal of 90200073010044 is 44001037000209.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90200073009993 and 90200073010020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90200073010043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4989177 + ... + 14328015.

Almost surely, 290200073010044 is an apocalyptic number.

It is an amenable number.

90200073010044 is an abundant number, since it is smaller than the sum of its proper divisors (120736679623556).

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

90200073010044 is a wasteful number, since it uses less digits than its factorization.

90200073010044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9340642 (or 9340640 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 90200073010044 in words is "ninety trillion, two hundred billion, seventy-three million, ten thousand, forty-four".

Divisors: 1 2 3 4 6 12 859 937 1718 1874 2577 2811 3436 3748 5154 5622 10308 11244 804883 1609766 2414649 3219532 4829298 9338839 9658596 18677678 28016517 37355356 56033034 112066068 8022062701 8750492143 16044125402 17500984286 24066188103 26251476429 32088250804 35001968572 48132376206 52502952858 96264752412 105005905716 7516672750837 15033345501674 22550018252511 30066691003348 45100036505022 90200073010044