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46986668964 = 22323735275277
BaseRepresentation
bin101011110000100111…
…111010101110100100
311111021120201002112200
4223300213322232210
51232212041401324
633330235214500
73252242045034
oct536047725644
9144246632480
1046986668964
1118a21827924
1291338a7430
13457a69b701
1423ba4578c4
15135006aec9
hexaf09faba4

46986668964 has 36 divisors (see below), whose sum is σ = 121981911324. Its totient is φ = 15238919232.

The previous prime is 46986668959. The next prime is 46986668987.

46986668964 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 17333828964 + 29652840000 = 131658^2 + 172200^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 46986668892 and 46986668901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17636307 + ... + 17638970.

Almost surely, 246986668964 is an apocalyptic number.

It is an amenable number.

46986668964 is an abundant number, since it is smaller than the sum of its proper divisors (74995242360).

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

46986668964 is a wasteful number, since it uses less digits than its factorization.

46986668964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35275324 (or 35275319 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 46986668964 in words is "forty-six billion, nine hundred eighty-six million, six hundred sixty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 35275277 70550554 105825831 141101108 211651662 317477493 423303324 634954986 1269909972 1305185249 2610370498 3915555747 5220740996 7831111494 11746667241 15662222988 23493334482 46986668964