Search a number
-
+
46318700781364 = 221117946791256891
BaseRepresentation
bin10101000100000011010011…
…01101001101111100110100
320002000000122220012201021211
422202001221231031330310
522032341144400000424
6242302303431051204
712520262404356664
oct1242015155157464
9202000586181254
1046318700781364
1113838718079630
125240a5b210b04
131cacab0c0a65b
14b61ba0d361a4
15554cc7ee5b94
hex2a2069b4df34

46318700781364 has 48 divisors (see below), whose sum is σ = 88939688947200. Its totient is φ = 20931843855200.

The previous prime is 46318700781299. The next prime is 46318700781371.

46318700781364 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46318700781299 and 46318700781308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36223359 + ... + 37480249.

It is an arithmetic number, because the mean of its divisors is an integer number (1852910186400).

Almost surely, 246318700781364 is an apocalyptic number.

46318700781364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46318700781364 is a deficient number, since it is larger than the sum of its proper divisors (42620988165836).

46318700781364 is a wasteful number, since it uses less digits than its factorization.

46318700781364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261764 (or 1261762 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 46318700781364 in words is "forty-six trillion, three hundred eighteen billion, seven hundred million, seven hundred eighty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 44 179 358 716 1969 3938 4679 7876 9358 18716 51469 102938 205876 837541 1256891 1675082 2513782 3350164 5027564 9212951 13825801 18425902 27651602 36851804 55303204 224983489 449966978 899933956 2474818379 4949636758 5880992989 9899273516 11761985978 23523971956 64690922879 129381845758 258763691516 1052697745031 2105395490062 4210790980124 11579675195341 23159350390682 46318700781364