Search a number
-
+
13248707088 = 2433110698329
BaseRepresentation
bin11000101011010111…
…10011101000010000
31021012022210001110010
430111223303220100
5204113132111323
610030353434520
7646213103121
oct142553635020
937168701403
1013248707088
115689605801
122698b6ba40
131331a80a66
148d97ca048
155281ccc93
hex315af3a10

13248707088 has 80 divisors (see below), whose sum is σ = 35367180800. Its totient is φ = 4269265920.

The previous prime is 13248707071. The next prime is 13248707093. The reversal of 13248707088 is 88070784231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1586508 + ... + 1594836.

It is an arithmetic number, because the mean of its divisors is an integer number (442089760).

Almost surely, 213248707088 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 13248707088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683590400).

13248707088 is an abundant number, since it is smaller than the sum of its proper divisors (22118473712).

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

13248707088 is a wasteful number, since it uses less digits than its factorization.

13248707088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9440 (or 9434 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 13248707088 in words is "thirteen billion, two hundred forty-eight million, seven hundred seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1069 1488 2138 3207 4276 6414 8329 8552 12828 16658 17104 24987 25656 33139 33316 49974 51312 66278 66632 99417 99948 132556 133264 198834 199896 258199 265112 397668 399792 516398 530224 774597 795336 1032796 1549194 1590672 2065592 3098388 4131184 6196776 8903701 12393552 17807402 26711103 35614804 53422206 71229608 106844412 142459216 213688824 276014731 427377648 552029462 828044193 1104058924 1656088386 2208117848 3312176772 4416235696 6624353544 13248707088