Search a number
-
+
4719091104 = 2538713219
BaseRepresentation
bin1000110010100011…
…11001110110100000
3110011212210200000000
410121101321312200
534131041403404
62100134300000
7224641420050
oct43121716640
913155720000
104719091104
112001892aa2
12ab84b7600
135a28b6600
1432aa5b560
151c9469339
hex119479da0

4719091104 has 648 divisors, whose sum is σ = 18153102240. Its totient is φ = 1179090432.

The previous prime is 4719091093. The next prime is 4719091121. The reversal of 4719091104 is 4011909174.

4719091104 is a `hidden beast` number, since 471 + 90 + 91 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 248373207 + ... + 248373225.

Almost surely, 24719091104 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 4719091104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9076551120).

4719091104 is an abundant number, since it is smaller than the sum of its proper divisors (13434011136).

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

4719091104 is an equidigital number, since it uses as much as digits as its factorization.

4719091104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 4719091104 is about 68695.6410844240. The cubic root of 4719091104 is about 1677.3336275113. Note that the first 3 decimals are identical.

The spelling of 4719091104 in words is "four billion, seven hundred nineteen million, ninety-one thousand, one hundred four".