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46052225064 = 23321498575009
BaseRepresentation
bin101010111000111011…
…010011000000101000
311101212110101102111100
4222320323103000220
51223303332200224
633053415001400
73220134311556
oct527073230050
9141773342440
1046052225064
111859230a33a
128b12969260
13445bc05421
14232c2d2bd6
1512e7ed8ac9
hexab8ed3028

46052225064 has 96 divisors (see below), whose sum is σ = 125733465000. Its totient is φ = 15226884096.

The previous prime is 46052225039. The next prime is 46052225117.

46052225064 is a `hidden beast` number, since 4 + 605 + 22 + 25 + 0 + 6 + 4 = 666.

46052225064 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 40056820164 + 5995404900 = 200142^2 + 77430^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9191392 + ... + 9196400.

Almost surely, 246052225064 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 46052225064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62866732500).

46052225064 is an abundant number, since it is smaller than the sum of its proper divisors (79681239936).

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

46052225064 is a wasteful number, since it uses less digits than its factorization.

46052225064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6027 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 46052225064 in words is "forty-six billion, fifty-two million, two hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 857 894 1192 1341 1714 1788 2571 2682 3428 3576 5009 5142 5364 6856 7713 10018 10284 10728 15027 15426 20036 20568 30054 30852 40072 45081 60108 61704 90162 120216 127693 180324 255386 360648 383079 510772 746341 766158 1021544 1149237 1492682 1532316 2239023 2298474 2985364 3064632 4292713 4478046 4596948 5970728 6717069 8585426 8956092 9193896 12878139 13434138 17170852 17912184 25756278 26868276 34341704 38634417 51512556 53736552 77268834 103025112 154537668 309075336 639614237 1279228474 1918842711 2558456948 3837685422 5116913896 5756528133 7675370844 11513056266 15350741688 23026112532 46052225064