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6364402542 = 2322317388861
BaseRepresentation
bin1011110110101100…
…10001001101101110
3121102112202010222200
411323112101031232
5101013241340132
62531311122330
7313500346311
oct57326211556
917375663880
106364402542
1127765a2913
1212975133a6
137a5725684
14445388978
15273b18d7c
hex17b59136e

6364402542 has 48 divisors (see below), whose sum is σ = 14472420768. Its totient is φ = 2017477440.

The previous prime is 6364402531. The next prime is 6364402543. The reversal of 6364402542 is 2452044636.

6364402542 is a `hidden beast` number, since 6 + 3 + 644 + 0 + 2 + 5 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6364402497 and 6364402506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6364402543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27192 + ... + 116052.

It is an arithmetic number, because the mean of its divisors is an integer number (301508766).

Almost surely, 26364402542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6364402542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7236210384).

6364402542 is an abundant number, since it is smaller than the sum of its proper divisors (8108018226).

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

6364402542 is a wasteful number, since it uses less digits than its factorization.

6364402542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89065 (or 89062 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 6364402542 is about 79777.2056542469. The cubic root of 6364402542 is about 1853.1868656643.

The spelling of 6364402542 in words is "six billion, three hundred sixty-four million, four hundred two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 173 207 346 414 519 1038 1557 3114 3979 7958 11937 23874 35811 71622 88861 177722 266583 533166 799749 1599498 2043803 4087606 6131409 12262818 15372953 18394227 30745906 36788454 46118859 92237718 138356577 276713154 353577919 707155838 1060733757 2121467514 3182201271 6364402542