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2412818096 = 2413292691487
BaseRepresentation
bin1000111111010000…
…1010111010110000
320020011010212012012
42033310022322300
514420140134341
61035231022052
7113535421043
oct21764127260
96204125165
102412818096
111028a77a47
1257406a928
132c5b56120
1418c638c5a
15e1c590eb
hex8fd0aeb0

2412818096 has 80 divisors (see below), whose sum is σ = 5230915200. Its totient is φ = 1070490624.

The previous prime is 2412818081. The next prime is 2412818141. The reversal of 2412818096 is 6908182142.

2412818096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621865 + ... + 1623351.

It is an arithmetic number, because the mean of its divisors is an integer number (65386440).

Almost surely, 22412818096 is an apocalyptic number.

2412818096 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412818096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615457600).

2412818096 is an abundant number, since it is smaller than the sum of its proper divisors (2818097104).

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

2412818096 is a wasteful number, since it uses less digits than its factorization.

2412818096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2412818096 is about 49120.4447862598. Note that the first 3 decimals coincide. The cubic root of 2412818096 is about 1341.2452403213.

It can be divided in two parts, 24128 and 18096, that added together give a palindrome (42224).

The spelling of 2412818096 in words is "two billion, four hundred twelve million, eight hundred eighteen thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 269 377 464 538 754 1076 1487 1508 2152 2974 3016 3497 4304 5948 6032 6994 7801 11896 13988 15602 19331 23792 27976 31204 38662 43123 55952 62408 77324 86246 101413 124816 154648 172492 202826 309296 344984 400003 405652 560599 689968 800006 811304 1121198 1600012 1622608 2242396 3200024 4484792 5200039 6400048 8969584 10400078 11600087 20800156 23200174 41600312 46400348 83200624 92800696 150801131 185601392 301602262 603204524 1206409048 2412818096