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4077136112 = 247173835591
BaseRepresentation
bin1111001100000100…
…0010100011110000
3101112010211222022012
43303001002203300
531322221323422
61512323102052
7203015041130
oct36301024360
911463758265
104077136112
111802489785
12959511928
134cc8bb39a
142a96b2ac0
1518ce104e2
hexf30428f0

4077136112 has 80 divisors (see below), whose sum is σ = 9585672192. Its totient is φ = 1639971840.

The previous prime is 4077136103. The next prime is 4077136121. The reversal of 4077136112 is 2116317704.

It is an interprime number because it is at equal distance from previous prime (4077136103) and next prime (4077136121).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726437 + ... + 732027.

Almost surely, 24077136112 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 4077136112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792836096).

4077136112 is an abundant number, since it is smaller than the sum of its proper divisors (5508536080).

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

4077136112 is a wasteful number, since it uses less digits than its factorization.

4077136112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6006 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 4077136112 is about 63852.4558024200. The cubic root of 4077136112 is about 1597.5399842233.

The spelling of 4077136112 in words is "four billion, seventy-seven million, one hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 383 476 766 952 1532 1904 2681 3064 5362 5591 6128 6511 10724 11182 13022 21448 22364 26044 39137 42896 44728 45577 52088 78274 89456 91154 95047 104176 156548 182308 190094 313096 364616 380188 626192 665329 729232 760376 1330658 1520752 2141353 2661316 4282706 5322632 8565412 10645264 14989471 17130824 29978942 34261648 36403001 59957884 72806002 119915768 145612004 239831536 254821007 291224008 509642014 582448016 1019284028 2038568056 4077136112