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2166446115440 = 245191425293497
BaseRepresentation
bin11111100001101010010…
…000000100101001110000
321200002222100120120222022
4133201222100010221300
5240443340201143230
64335130202531012
7312343361066525
oct37415220045160
97602870516868
102166446115440
1176586a397982
122aba56506a68
131293ab136589
1476bdc53d14c
153b54a8251e5
hex1f86a404a70

2166446115440 has 40 divisors (see below), whose sum is σ = 5302091812560. Its totient is φ = 820969053696.

The previous prime is 2166446115397. The next prime is 2166446115451. The reversal of 2166446115440 is 445116446612.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×21664461154402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2166446115391 and 2166446115400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712645229 + ... + 712648268.

It is an arithmetic number, because the mean of its divisors is an integer number (132552295314).

Almost surely, 22166446115440 is an apocalyptic number.

2166446115440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166446115440 is an abundant number, since it is smaller than the sum of its proper divisors (3135645697120).

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

2166446115440 is a wasteful number, since it uses less digits than its factorization.

2166446115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425293529 (or 1425293523 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 2166446115440 in words is "two trillion, one hundred sixty-six billion, four hundred forty-six million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 1425293497 2850586994 5701173988 7126467485 11402347976 14252934970 22804695952 27080576443 28505869940 54161152886 57011739880 108322305772 114023479760 135402882215 216644611544 270805764430 433289223088 541611528860 1083223057720 2166446115440