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2148861681864 = 2332191570805323
BaseRepresentation
bin11111010001010010001…
…000110010000011001000
321121102120212100210220200
4133101102020302003020
5240201332042304424
64323101243252200
7311151536631402
oct37212210620310
97542525323820
102148861681864
11759366442747
122a856951a060
131278380379b1
1476010da9b72
153ad6bba78c9
hex1f4522320c8

2148861681864 has 48 divisors (see below), whose sum is σ = 6126140763600. Its totient is φ = 678587899104.

The previous prime is 2148861681803. The next prime is 2148861681929. The reversal of 2148861681864 is 4681861688412.

2148861681864 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 8 + 616 + 8 + 1 + 8 + 6 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 785401294 + ... + 785404029.

It is an arithmetic number, because the mean of its divisors is an integer number (127627932575).

Almost surely, 22148861681864 is an apocalyptic number.

2148861681864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2148861681864 is an abundant number, since it is smaller than the sum of its proper divisors (3977279081736).

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

2148861681864 is a wasteful number, since it uses less digits than its factorization.

2148861681864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570805354 (or 1570805347 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The spelling of 2148861681864 in words is "two trillion, one hundred forty-eight billion, eight hundred sixty-one million, six hundred eighty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1570805323 3141610646 4712415969 6283221292 9424831938 12566442584 14137247907 18849663876 28274495814 29845301137 37699327752 56548991628 59690602274 89535903411 113097983256 119381204548 179071806822 238762409096 268607710233 358143613644 537215420466 716287227288 1074430840932 2148861681864