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6116479104 = 27327757503
BaseRepresentation
bin1011011001001001…
…00001000010000000
3120210021020022222010
411230210201002000
5100011304312404
62450533212520
7304400133411
oct55444410200
916707208863
106116479104
11265965830a
121228491140
1376625c208
1442048d808
1525be95189
hex16c921080

6116479104 has 64 divisors (see below), whose sum is σ = 16305834240. Its totient is φ = 2031430656.

The previous prime is 6116479093. The next prime is 6116479123. The reversal of 6116479104 is 4019746116.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×61164791042 = 74822633259337285632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77617 + ... + 135119.

It is an arithmetic number, because the mean of its divisors is an integer number (254778660).

Almost surely, 26116479104 is an apocalyptic number.

6116479104 is a gapful number since it is divisible by the number (64) 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 6116479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8152917120).

6116479104 is an abundant number, since it is smaller than the sum of its proper divisors (10189355136).

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

6116479104 is a wasteful number, since it uses less digits than its factorization.

6116479104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57797 (or 57785 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 6116479104 is about 78207.9222585538. The cubic root of 6116479104 is about 1828.8040105573.

The spelling of 6116479104 in words is "six billion, one hundred sixteen million, four hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 277 384 554 831 1108 1662 2216 3324 4432 6648 8864 13296 17728 26592 35456 53184 57503 106368 115006 172509 230012 345018 460024 690036 920048 1380072 1840096 2760144 3680192 5520288 7360384 11040576 15928331 22081152 31856662 47784993 63713324 95569986 127426648 191139972 254853296 382279944 509706592 764559888 1019413184 1529119776 2038826368 3058239552 6116479104