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6114106368 = 2103319103113
BaseRepresentation
bin1011011000110110…
…11101110000000000
3120210002202210012000
411230123131300000
5100010202400433
62450410304000
7304341021666
oct55433356000
916702683160
106114106368
112658287677
121227728000
1376590b226
14420032c36
1525bb77113
hex16c6ddc00

6114106368 has 352 divisors, whose sum is σ = 19415385600. Its totient is φ = 1895104512.

The previous prime is 6114106357. The next prime is 6114106391. The reversal of 6114106368 is 8636014116.

6114106368 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 10 + 636 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54107080 + ... + 54107192.

Almost surely, 26114106368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6114106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707692800).

6114106368 is an abundant number, since it is smaller than the sum of its proper divisors (13301279232).

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

6114106368 is a wasteful number, since it uses less digits than its factorization.

6114106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6114106368 is about 78192.7513776053. The cubic root of 6114106368 is about 1828.5675002892.

The spelling of 6114106368 in words is "six billion, one hundred fourteen million, one hundred six thousand, three hundred sixty-eight".