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2114166073932 = 223211219238912479
BaseRepresentation
bin11110110000111110000…
…111100010101001001100
321111010000212110022101200
4132300332013202221030
5234114303003331212
64255122352105500
7305513002056453
oct36607607425114
97433025408350
102114166073932
117456816a5a00
122a18a5b35290
13124498bbbc83
147447d097b9a
1539edac026dc
hex1ec3e1e2a4c

2114166073932 has 432 divisors, whose sum is σ = 6525163008000. Its totient is φ = 573980014080.

The previous prime is 2114166073889. The next prime is 2114166073949. The reversal of 2114166073932 is 2393706614112.

2114166073932 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 1 + 6 + 607 + 3 + 9 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 169411669 + ... + 169424147.

It is an arithmetic number, because the mean of its divisors is an integer number (15104544000).

Almost surely, 22114166073932 is an apocalyptic number.

2114166073932 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114166073932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262581504000).

2114166073932 is an abundant number, since it is smaller than the sum of its proper divisors (4410996934068).

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

2114166073932 is a wasteful number, since it uses less digits than its factorization.

2114166073932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12642 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 2114166073932 in words is "two trillion, one hundred fourteen billion, one hundred sixty-six million, seventy-three thousand, nine hundred thirty-two".