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46508372964 = 2234119812
BaseRepresentation
bin101011010100000111…
…010111001111100100
311110001020201010210000
4223110013113033210
51230222120413324
633210551501300
73234343435044
oct532407271744
9143036633700
1046508372964
11187a6844a79
12901b687830
134502575521
142372b11724
15132308d9c9
hexad41d73e4

46508372964 has 45 divisors (see below), whose sum is σ = 121592222521. Its totient is φ = 15501497040.

The previous prime is 46508372921. The next prime is 46508373019. The reversal of 46508372964 is 46927380564.

The square root of 46508372964 is 215658.

It is a perfect power (a square), and thus also a powerful number.

46508372964 is a `hidden beast` number, since 4 + 6 + 508 + 3 + 72 + 9 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44968595364 + 1539777600 = 212058^2 + 39240^2 .

It is a super-2 number, since 2×465083729642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 46508372964.

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 14 ways as a sum of consecutive naturals, for example, 3875854 + ... + 3887834.

Almost surely, 246508372964 is an apocalyptic number.

46508372964 is the 215658-th square number.

It is an amenable number.

46508372964 is an abundant number, since it is smaller than the sum of its proper divisors (75083849557).

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

46508372964 is an frugal number, since it uses more digits than its factorization.

46508372964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23978 (or 11986 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 46508372964 in words is "forty-six billion, five hundred eight million, three hundred seventy-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 11981 23962 35943 47924 71886 107829 143772 215658 323487 431316 646974 970461 1293948 1940922 3881844 143544361 287088722 430633083 574177444 861266166 1291899249 1722532332 2583798498 3875697747 5167596996 7751395494 11627093241 15502790988 23254186482 46508372964