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4107009296 = 2413191317933
BaseRepresentation
bin1111010011001011…
…1111110100010000
3101121020001200121102
43310302333310100
531402343244141
61515311243532
7203530001015
oct36462776420
911536050542
104107009296
111818332965
129675195a8
13505b4a720
142ad64b70c
1519086199b
hexf4cbfd10

4107009296 has 80 divisors (see below), whose sum is σ = 9090459840. Its totient is φ = 1781844480.

The previous prime is 4107009251. The next prime is 4107009299. The reversal of 4107009296 is 6929007014.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (4107009299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513746 + ... + 521678.

It is an arithmetic number, because the mean of its divisors is an integer number (113630748).

Almost surely, 24107009296 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 4107009296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545229920).

4107009296 is an abundant number, since it is smaller than the sum of its proper divisors (4983450544).

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

4107009296 is a wasteful number, since it uses less digits than its factorization.

4107009296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 4107009296 is about 64085.9524076845. The cubic root of 4107009296 is about 1601.4322196676.

The spelling of 4107009296 in words is "four billion, one hundred seven million, nine thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 131 152 208 247 262 304 494 524 988 1048 1703 1976 2096 2489 3406 3952 4978 6812 7933 9956 13624 15866 19912 27248 31732 32357 39824 63464 64714 103129 126928 129428 150727 206258 258856 301454 412516 517712 602908 825032 1039223 1205816 1650064 1959451 2078446 2411632 3918902 4156892 7837804 8313784 13509899 15675608 16627568 19745237 27019798 31351216 39490474 54039596 78980948 108079192 157961896 216158384 256688081 315923792 513376162 1026752324 2053504648 4107009296