Search a number
-
+
4099032168 = 2337112218091
BaseRepresentation
bin1111010001010010…
…0100010001101000
3101120200001102001020
43310110210101220
531343323012133
61514424252440
7203402125050
oct36424442150
911520042036
104099032168
1118138845a0
12964911120
135042b682a
142ac572560
1518ecd80b3
hexf4524468

4099032168 has 64 divisors (see below), whose sum is σ = 12776209920. Its totient is φ = 1064683200.

The previous prime is 4099032121. The next prime is 4099032169. The reversal of 4099032168 is 8612309904.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4099032169) by changing a digit.

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, 1107198 + ... + 1110893.

It is an arithmetic number, because the mean of its divisors is an integer number (199628280).

Almost surely, 24099032168 is an apocalyptic number.

It is an amenable number.

4099032168 is an abundant number, since it is smaller than the sum of its proper divisors (8677177752).

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

4099032168 is a wasteful number, since it uses less digits than its factorization.

4099032168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218118 (or 2218114 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4099032168 is about 64023.6844300607. The cubic root of 4099032168 is about 1600.3947161581.

The spelling of 4099032168 in words is "four billion, ninety-nine million, thirty-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 2218091 4436182 6654273 8872364 13308546 15526637 17744728 24399001 26617092 31053274 46579911 48798002 53234184 62106548 73197003 93159822 97596004 124213096 146394006 170793007 186319644 195192008 292788012 341586014 372639288 512379021 585576024 683172028 1024758042 1366344056 2049516084 4099032168