Search a number
-
+
45566126336 = 283710744959
BaseRepresentation
bin101010011011111100…
…111110100100000000
311100121120201001101202
4222123330332210000
51221304412020321
632533252120332
73202112453243
oct523374764400
9140546631352
1045566126336
1118362988155
1289b80060a8
1343b22a9843
1422c391925a
1512ba4b970b
hexa9bf3e900

45566126336 has 72 divisors (see below), whose sum is σ = 94287594240. Its totient is φ = 21959645184.

The previous prime is 45566126329. The next prime is 45566126369. The reversal of 45566126336 is 63362166554.

45566126336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991025 + ... + 1035983.

It is an arithmetic number, because the mean of its divisors is an integer number (1309549920).

Almost surely, 245566126336 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 45566126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47143797120).

45566126336 is an abundant number, since it is smaller than the sum of its proper divisors (48721467904).

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

45566126336 is a wasteful number, since it uses less digits than its factorization.

45566126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45119 (or 45105 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 47.

The spelling of 45566126336 in words is "forty-five billion, five hundred sixty-six million, one hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 107 128 148 214 256 296 428 592 856 1184 1712 2368 3424 3959 4736 6848 7918 9472 13696 15836 27392 31672 44959 63344 89918 126688 179836 253376 359672 506752 719344 1013504 1438688 1663483 2877376 3326966 4810613 5754752 6653932 9621226 11509504 13307864 19242452 26615728 38484904 53231456 76969808 106462912 153939616 177992681 212925824 307879232 355985362 425851648 615758464 711970724 1231516928 1423941448 2847882896 5695765792 11391531584 22783063168 45566126336