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4136613376 = 2972714259
BaseRepresentation
bin1111011010001111…
…1011011000000000
3101200021202201202211
43312203323120000
531432433112001
61522245551504
7204336430210
oct36643733000
911607681684
104136613376
111833012945
12975415594
1350c01442c
142b3556240
1519325d351
hexf68fb600

4136613376 has 80 divisors (see below), whose sum is σ = 9482964480. Its totient is φ = 1765877760.

The previous prime is 4136613361. The next prime is 4136613379. The reversal of 4136613376 is 6733166314.

4136613376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41366133762 = 34223140445004234752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4136613379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969135 + ... + 973393.

It is an arithmetic number, because the mean of its divisors is an integer number (118537056).

Almost surely, 24136613376 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 4136613376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741482240).

4136613376 is an abundant number, since it is smaller than the sum of its proper divisors (5346351104).

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

4136613376 is an equidigital number, since it uses as much as digits as its factorization.

4136613376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4539 counting only the distinct ones).

The product of its digits is 163296, while the sum is 40.

The square root of 4136613376 is about 64316.5093580179. The cubic root of 4136613376 is about 1605.2708174853.

The spelling of 4136613376 in words is "four billion, one hundred thirty-six million, six hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 271 448 512 542 896 1084 1792 1897 2168 3584 3794 4259 4336 7588 8518 8672 15176 17036 17344 29813 30352 34072 34688 59626 60704 68144 69376 119252 121408 136288 138752 238504 242816 272576 477008 485632 545152 954016 971264 1090304 1154189 1908032 2180608 2308378 3816064 4616756 7632128 8079323 9233512 15264256 16158646 18467024 32317292 36934048 64634584 73868096 129269168 147736192 258538336 295472384 517076672 590944768 1034153344 2068306688 4136613376