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2413412412 = 223172739533
BaseRepresentation
bin1000111111011001…
…1100000000111100
320020012021001102220
42033312130000330
514420313144122
61035251445340
7113543444535
oct21766340074
96205231386
102413412412
111029343514
125742b6850
132c60037a8
1418c75168c
15e1d2525c
hex8fd9c03c

2413412412 has 72 divisors (see below), whose sum is σ = 6064615536. Its totient is φ = 746698752.

The previous prime is 2413412411. The next prime is 2413412459. The reversal of 2413412412 is 2142143142.

2413412412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413412411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248398 + ... + 257930.

Almost surely, 22413412412 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 2413412412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032307768).

2413412412 is an abundant number, since it is smaller than the sum of its proper divisors (3651203124).

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

2413412412 is a wasteful number, since it uses less digits than its factorization.

2413412412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9647 (or 9628 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2413412412 is about 49126.4939925495. The cubic root of 2413412412 is about 1341.3553547235.

Adding to 2413412412 its reverse (2142143142), we get a palindrome (4555555554).

The spelling of 2413412412 in words is "two billion, four hundred thirteen million, four hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 73 102 146 204 219 289 292 438 578 867 876 1156 1241 1734 2482 3468 3723 4964 7446 9533 14892 19066 21097 28599 38132 42194 57198 63291 84388 114396 126582 162061 253164 324122 486183 648244 695909 972366 1391818 1944732 2087727 2755037 2783636 4175454 5510074 8265111 8350908 11020148 11830453 16530222 23660906 33060444 35491359 47321812 70982718 141965436 201117701 402235402 603353103 804470804 1206706206 2413412412