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6138481086 = 232232738831
BaseRepresentation
bin1011011011110000…
…11100100110111110
3120211210122011000100
411231320130212332
5100032422343321
62453040541530
7305055141213
oct55570344676
916753564010
106138481086
112670015771
1212339218a6
1376a99393a
14423379b0a
1525dd8e326
hex16de1c9be

6138481086 has 72 divisors (see below), whose sum is σ = 14095501056. Its totient is φ = 1930167360.

The previous prime is 6138481081. The next prime is 6138481087. The reversal of 6138481086 is 6801848316.

It is a happy number.

6138481086 is a `hidden beast` number, since 61 + 38 + 481 + 0 + 86 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138481081) 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, 690691 + ... + 699521.

It is an arithmetic number, because the mean of its divisors is an integer number (195770848).

Almost surely, 26138481086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6138481086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047750528).

6138481086 is an abundant number, since it is smaller than the sum of its proper divisors (7957019970).

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

6138481086 is a wasteful number, since it uses less digits than its factorization.

6138481086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8932 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6138481086 is about 78348.4593722174. The cubic root of 6138481086 is about 1830.9942228063.

The spelling of 6138481086 in words is "six billion, one hundred thirty-eight million, four hundred eighty-one thousand, eighty-six".

Divisors: 1 2 3 6 9 18 23 46 69 73 138 146 207 219 414 438 529 657 1058 1314 1587 1679 3174 3358 4761 5037 8831 9522 10074 15111 17662 26493 30222 38617 52986 77234 79479 115851 158958 203113 231702 347553 406226 609339 644663 695106 1218678 1289326 1828017 1933989 3656034 3867978 4671599 5801967 9343198 11603934 14014797 14827249 28029594 29654498 42044391 44481747 84088782 88963494 133445241 266890482 341026727 682053454 1023080181 2046160362 3069240543 6138481086