Search a number
-
+
94384415344 = 24172113734409
BaseRepresentation
bin101011111100110111…
…1111110001001110000
3100000121210221002021211
41113321233332021300
53021244402242334
6111205401325504
76550635202402
oct1277157761160
9300553832254
1094384415344
11370345a624a
1216361196894
138b9228979b
1447d531ab72
1526c6237a64
hex15f9bfe270

94384415344 has 80 divisors (see below), whose sum is σ = 195110324640. Its totient is φ = 44077178880.

The previous prime is 94384415309. The next prime is 94384415357. The reversal of 94384415344 is 44351448349.

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, 21405012 + ... + 21409420.

It is an arithmetic number, because the mean of its divisors is an integer number (2438879058).

Almost surely, 294384415344 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 94384415344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97555162320).

94384415344 is an abundant number, since it is smaller than the sum of its proper divisors (100725909296).

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

94384415344 is a wasteful number, since it uses less digits than its factorization.

94384415344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 5012 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 49.

The spelling of 94384415344 in words is "ninety-four billion, three hundred eighty-four million, four hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 211 272 373 422 746 844 1492 1688 2984 3376 3587 4409 5968 6341 7174 8818 12682 14348 17636 25364 28696 35272 50728 57392 70544 74953 78703 101456 149906 157406 299812 314812 599624 629624 930299 1199248 1259248 1337951 1644557 1860598 2675902 3289114 3721196 5351804 6578228 7442392 10703608 13156456 14884784 15815083 21407216 26312912 27957469 31630166 55914938 63260332 111829876 126520664 223659752 253041328 347001527 447319504 694003054 1388006108 2776012216 5552024432 5899025959 11798051918 23596103836 47192207672 94384415344