Search a number
-
+
94290672424 = 231337121320201
BaseRepresentation
bin101011111010000101…
…0010111101100101000
3100000101021112110011211
41113310022113230220
53021101403004144
6111152212202504
76545416330414
oct1276412275450
9300337473154
1094290672424
1136a96698863
1216335909434
138b78a26cc0
1447c6ab7d44
1526bcdbc034
hex15f4297b28

94290672424 has 64 divisors (see below), whose sum is σ = 195711319440. Its totient is φ = 42305587200.

The previous prime is 94290672409. The next prime is 94290672473. The reversal of 94290672424 is 42427609249.

It can be written as a sum of positive squares in 8 ways, for example, as 1807780324 + 92482892100 = 42518^2 + 304110^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4657524 + ... + 4677724.

Almost surely, 294290672424 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 94290672424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97855659720).

94290672424 is an abundant number, since it is smaller than the sum of its proper divisors (101420647016).

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

94290672424 is a wasteful number, since it uses less digits than its factorization.

94290672424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21470 (or 21466 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 94290672424 in words is "ninety-four billion, two hundred ninety million, six hundred seventy-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1213 1924 2426 3848 4852 9704 15769 20201 31538 40402 44881 63076 80804 89762 126152 161608 179524 262613 359048 525226 583453 747437 1050452 1166906 1494874 2100904 2333812 2989748 4667624 5979496 9716681 19433362 24503813 38866724 49007626 77733448 98015252 196030504 318549569 637099138 906641081 1274198276 1813282162 2548396552 3626564324 7253128648 11786334053 23572668106 47145336212 94290672424