Search a number
-
+
94014950848 = 2671326361379
BaseRepresentation
bin101011110001110111…
…0100100110111000000
322222200001201100021121
41113203232210313000
53020020311411343
6111105002402024
76535530616420
oct1274356446700
9288601640247
1094014950848
1136964a97095
1216279500314
138b33879b40
14479c224480
1526a3aa6aed
hex15e3ba4dc0

94014950848 has 112 divisors (see below), whose sum is σ = 230490247680. Its totient is φ = 37050706944.

The previous prime is 94014950803. The next prime is 94014950863. The reversal of 94014950848 is 84805941049.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 94014950795 and 94014950804.

It is a congruent number.

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, 1501023 + ... + 1562401.

It is an arithmetic number, because the mean of its divisors is an integer number (2057948640).

Almost surely, 294014950848 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 94014950848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115245123840).

94014950848 is an abundant number, since it is smaller than the sum of its proper divisors (136475296832).

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

94014950848 is a wasteful number, since it uses less digits than its factorization.

94014950848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61674 (or 61664 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 52.

The spelling of 94014950848 in words is "ninety-four billion, fourteen million, nine hundred fifty thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 263 364 416 448 526 728 832 1052 1456 1841 2104 2912 3419 3682 4208 5824 6838 7364 8416 13676 14728 16832 23933 27352 29456 47866 54704 58912 61379 95732 109408 117824 122758 191464 218816 245516 382928 429653 491032 765856 797927 859306 982064 1531712 1595854 1718612 1964128 3191708 3437224 3928256 5585489 6383416 6874448 11170978 12766832 13748896 16142677 22341956 25533664 27497792 32285354 44683912 51067328 64570708 89367824 112998739 129141416 178735648 209854801 225997478 258282832 357471296 419709602 451994956 516565664 839419204 903989912 1033131328 1468983607 1678838408 1807979824 2937967214 3357676816 3615959648 5875934428 6715353632 7231919296 11751868856 13430707264 23503737712 47007475424 94014950848