Search a number
-
+
2413366542 = 23389653769
BaseRepresentation
bin1000111111011001…
…0000110100001110
320020012011201112000
42033312100310032
514420310212132
61035250453130
7113543164026
oct21766206416
96205151460
102413366542
111029312004
125742941a6
132c5cb8952
1418c73ca86
15e1d1687c
hex8fd90d0e

2413366542 has 64 divisors (see below), whose sum is σ = 5438664000. Its totient is φ = 793165824.

The previous prime is 2413366541. The next prime is 2413366639. The reversal of 2413366542 is 2456633142.

2413366542 is a `hidden beast` number, since 24 + 1 + 33 + 66 + 542 = 666.

2413366542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2413366497 and 2413366506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413366541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3137934 + ... + 3138702.

It is an arithmetic number, because the mean of its divisors is an integer number (84979125).

Almost surely, 22413366542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413366542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719332000).

2413366542 is an abundant number, since it is smaller than the sum of its proper divisors (3025297458).

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

2413366542 is a wasteful number, since it uses less digits than its factorization.

2413366542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2413366542 is about 49126.0271343002. The cubic root of 2413366542 is about 1341.3468566098.

Adding to 2413366542 its reverse (2456633142), we get a palindrome (4869999684).

The spelling of 2413366542 in words is "two billion, four hundred thirteen million, three hundred sixty-six thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 653 769 801 1306 1538 1602 1959 2307 2403 3918 4614 4806 5877 6921 11754 13842 17631 20763 35262 41526 58117 68441 116234 136882 174351 205323 348702 410646 502157 523053 615969 1004314 1046106 1231938 1506471 1569159 1847907 3012942 3138318 3695814 4519413 9038826 13558239 27116478 44691973 89383946 134075919 268151838 402227757 804455514 1206683271 2413366542