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118434750304 = 25131494793989
BaseRepresentation
bin110111001001101000…
…0101101111101100000
3102022200220212200120111
41232103100231331200
53420023244002204
6130224055421104
711361631524133
oct1562320557540
9368626780514
10118434750304
1146256368932
121ab53684794
13b225b2a810
145a374da21a
15313286cd04
hex1b9342df60

118434750304 has 96 divisors (see below), whose sum is σ = 253380960000. Its totient is φ = 54168397824.

The previous prime is 118434750299. The next prime is 118434750307. The reversal of 118434750304 is 403057434811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118434750307) 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 15 ways as a sum of consecutive naturals, for example, 29688342 + ... + 29692330.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385000).

Almost surely, 2118434750304 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 118434750304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126690480000).

118434750304 is an abundant number, since it is smaller than the sum of its proper divisors (134946209696).

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

118434750304 is a wasteful number, since it uses less digits than its factorization.

118434750304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 118434750304 in words is "one hundred eighteen billion, four hundred thirty-four million, seven hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 104 149 208 298 416 479 596 958 1192 1916 1937 2384 3832 3874 3989 4768 6227 7664 7748 7978 12454 15328 15496 15956 24908 30992 31912 49816 51857 61984 63824 71371 99632 103714 127648 142742 199264 207428 285484 414856 570968 594361 829712 927823 1141936 1188722 1659424 1855646 1910731 2283872 2377444 3711292 3821462 4754888 7422584 7642924 7726693 9509776 14845168 15285848 15453386 19019552 24839503 29690336 30571696 30906772 49679006 61143392 61813544 99358012 123627088 198716024 247254176 284698919 397432048 569397838 794864096 1138795676 2277591352 3701085947 4555182704 7402171894 9110365408 14804343788 29608687576 59217375152 118434750304