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11364470728 = 231353712409
BaseRepresentation
bin10101001010110000…
…00000111111001000
31002100000020221002021
422211120000333020
5141233301030403
65115404014224
7551423256502
oct124530007710
932300227067
1011364470728
114901a47076
122251b31374
1310c15a92c0
1479b466d72
15467a858bd
hex2a5600fc8

11364470728 has 96 divisors (see below), whose sum is σ = 23772382200. Its totient is φ = 5061288960.

The previous prime is 11364470693. The next prime is 11364470753. The reversal of 11364470728 is 82707446311.

It can be written as a sum of positive squares in 4 ways, for example, as 10774855204 + 589615524 = 103802^2 + 24282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27785788 + ... + 27786196.

Almost surely, 211364470728 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 11364470728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886191100).

11364470728 is an abundant number, since it is smaller than the sum of its proper divisors (12407911472).

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

11364470728 is a wasteful number, since it uses less digits than its factorization.

11364470728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 11364470728 in words is "eleven billion, three hundred sixty-four million, four hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 53 71 104 106 142 212 284 409 424 568 689 818 923 1378 1636 1846 2756 3272 3692 3763 5041 5317 5512 7384 7526 10082 10634 15052 20164 21268 21677 29039 30104 40328 42536 43354 48919 58078 65533 86708 97838 116156 131066 173416 195676 232312 262132 267173 281801 377507 391352 524264 534346 563602 755014 1068692 1127204 1510028 1539067 2061769 2137384 2254408 3020056 3078134 3473249 4123538 6156268 6946498 8247076 12312536 13892996 16494152 20007871 26802997 27785992 40015742 53605994 80031484 107211988 109273757 160062968 214423976 218547514 437095028 874190056 1420558841 2841117682 5682235364 11364470728