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6112060416 = 21035711229
BaseRepresentation
bin1011011000100111…
…01010010000000000
3120202221220211200000
411230103222100000
5100004141413131
62450254400000
7304314441060
oct55423522000
916687824600
106112060416
11265710a500
121226b00000
13765372bc7
1441da5d3a0
1525b8c0ce6
hex16c4ea400

6112060416 has 792 divisors, whose sum is σ = 23783847360. Its totient is φ = 1532805120.

The previous prime is 6112060403. The next prime is 6112060453. The reversal of 6112060416 is 6140602116.

6112060416 is a `hidden beast` number, since 611 + 2 + 0 + 6 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6112060416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210760690 + ... + 210760718.

Almost surely, 26112060416 is an apocalyptic number.

6112060416 is a gapful number since it is divisible by the number (66) 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 6112060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891923680).

6112060416 is an abundant number, since it is smaller than the sum of its proper divisors (17671786944).

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

6112060416 is a wasteful number, since it uses less digits than its factorization.

6112060416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6112060416 is about 78179.6675357474. The cubic root of 6112060416 is about 1828.3635141580.

The spelling of 6112060416 in words is "six billion, one hundred twelve million, sixty thousand, four hundred sixteen".