Search a number
-
+
15051004368 = 24310322713411
BaseRepresentation
bin11100000010001110…
…00001100111010000
31102211221010020112020
432001013001213100
5221311024114433
610525255131440
71041656266131
oct160107014720
942757106466
1015051004368
116423999394
122b00673b80
13155b29665a
14a2acddc88
155d153bcb3
hex3811c19d0

15051004368 has 80 divisors (see below), whose sum is σ = 39435142656. Its totient is φ = 4946037120.

The previous prime is 15051004361. The next prime is 15051004369. The reversal of 15051004368 is 86340015051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15051004361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1115583 + ... + 1128993.

Almost surely, 215051004368 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 15051004368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19717571328).

15051004368 is an abundant number, since it is smaller than the sum of its proper divisors (24384138288).

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

15051004368 is a wasteful number, since it uses less digits than its factorization.

15051004368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13752 (or 13746 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 15051004368 in words is "fifteen billion, fifty-one million, four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 227 309 412 454 618 681 824 908 1236 1362 1648 1816 2472 2724 3632 4944 5448 10896 13411 23381 26822 40233 46762 53644 70143 80466 93524 107288 140286 160932 187048 214576 280572 321864 374096 561144 643728 1122288 1381333 2762666 3044297 4143999 5525332 6088594 8287998 9132891 11050664 12177188 16575996 18265782 22101328 24354376 33151992 36531564 48708752 66303984 73063128 146126256 313562591 627125182 940687773 1254250364 1881375546 2508500728 3762751092 5017001456 7525502184 15051004368