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4117046136 = 233729383639
BaseRepresentation
bin1111010101100101…
…0010001101111000
3101121220221121120020
43311121102031320
531412430434021
61520310330440
7204011212650
oct36531221570
911556847506
104117046136
111822a68775
1296a959a20
13507c52c98
142b0b01360
151916957c6
hexf5652378

4117046136 has 64 divisors (see below), whose sum is σ = 11803276800. Its totient is φ = 1172270208.

The previous prime is 4117046107. The next prime is 4117046191. The reversal of 4117046136 is 6316407114.

It is a junction number, because it is equal to n+sod(n) for n = 4117046097 and 4117046106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7405 + ... + 91043.

It is an arithmetic number, because the mean of its divisors is an integer number (184426200).

Almost surely, 24117046136 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 4117046136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901638400).

4117046136 is an abundant number, since it is smaller than the sum of its proper divisors (7686230664).

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

4117046136 is a wasteful number, since it uses less digits than its factorization.

4117046136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83948 (or 83944 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 4117046136 is about 64164.2122682107. The cubic root of 4117046136 is about 1602.7357020846.

The spelling of 4117046136 in words is "four billion, one hundred seventeen million, forty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 293 586 879 1172 1758 2051 2344 3516 4102 6153 7032 8204 12306 16408 24612 49224 83639 167278 250917 334556 501834 585473 669112 1003668 1170946 1756419 2007336 2341892 3512838 4683784 7025676 14051352 24506227 49012454 73518681 98024908 147037362 171543589 196049816 294074724 343087178 514630767 588149448 686174356 1029261534 1372348712 2058523068 4117046136