Search a number
-
+
2416195968 = 2736292177
BaseRepresentation
bin1001000000000100…
…0011100110000000
320020101111110202120
42100001003212000
514422021232333
61035431244240
7113606220054
oct22001034600
96211443676
102416195968
11102a97487a
12575219680
132c6769774
1418cc77c64
15e21c4db3
hex90043980

2416195968 has 32 divisors (see below), whose sum is σ = 6418021560. Its totient is φ = 805398528.

The previous prime is 2416195949. The next prime is 2416195993. The reversal of 2416195968 is 8695916142.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2416195968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3145705 + ... + 3146472.

Almost surely, 22416195968 is an apocalyptic number.

It is an amenable number.

2416195968 is an abundant number, since it is smaller than the sum of its proper divisors (4001825592).

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

2416195968 is an equidigital number, since it uses as much as digits as its factorization.

2416195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6292194 (or 6292182 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 2416195968 is about 49154.8163255647. The cubic root of 2416195968 is about 1341.8708493246.

The spelling of 2416195968 in words is "two billion, four hundred sixteen million, one hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 6292177 12584354 18876531 25168708 37753062 50337416 75506124 100674832 151012248 201349664 302024496 402699328 604048992 805398656 1208097984 2416195968