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6381358542 = 2321324744633
BaseRepresentation
bin1011111000101101…
…11100110111001110
3121110201122121020200
411330112330313032
5101032111433132
62533114354330
7314064436566
oct57426746716
917421577220
106381358542
112785124139
1212a112b9a6
137a90b1400
1444771dda6
15275367d7c
hex17c5bcdce

6381358542 has 72 divisors (see below), whose sum is σ = 15290537184. Its totient is φ = 1921675392.

The previous prime is 6381358507. The next prime is 6381358549. The reversal of 6381358542 is 2458531836.

6381358542 is a `hidden beast` number, since 63 + 8 + 1 + 3 + 585 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6381358549) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120658 + ... + 165290.

It is an arithmetic number, because the mean of its divisors is an integer number (212368572).

Almost surely, 26381358542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6381358542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645268592).

6381358542 is an abundant number, since it is smaller than the sum of its proper divisors (8909178642).

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

6381358542 is a wasteful number, since it uses less digits than its factorization.

6381358542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44714 (or 44698 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 6381358542 is about 79883.4059238838. The cubic root of 6381358542 is about 1854.8311557705.

The spelling of 6381358542 in words is "six billion, three hundred eighty-one million, three hundred fifty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 169 234 282 338 423 507 611 846 1014 1222 1521 1833 3042 3666 5499 7943 10998 15886 23829 44633 47658 71487 89266 133899 142974 267798 401697 580229 803394 1160458 1740687 2097751 3481374 4195502 5222061 6293253 7542977 10444122 12586506 15085954 18879759 22628931 27270763 37759518 45257862 54541526 67886793 81812289 135773586 163624578 245436867 354519919 490873734 709039838 1063559757 2127119514 3190679271 6381358542