Search a number
-
+
45564613052 = 227174310321613
BaseRepresentation
bin101010011011110111…
…001101000110111100
311100121110212011120012
4222123313031012330
51221304020104202
632533155442352
73202063551320
oct523367150674
9140543764505
1045564613052
1118362044202
1289b75b63b8
1343b1b99aca
1422c3643980
1512ba2bb152
hexa9bdcd1bc

45564613052 has 96 divisors (see below), whose sum is σ = 99696909312. Its totient is φ = 17776475136.

The previous prime is 45564613049. The next prime is 45564613067. The reversal of 45564613052 is 25031646554.

It is a happy number.

It is a super-2 number, since 2×455646130522 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2097398 + ... + 2119010.

It is an arithmetic number, because the mean of its divisors is an integer number (1038509472).

Almost surely, 245564613052 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 45564613052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49848454656).

45564613052 is an abundant number, since it is smaller than the sum of its proper divisors (54132296260).

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

45564613052 is a wasteful number, since it uses less digits than its factorization.

45564613052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21787 (or 21785 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 45564613052 in words is "forty-five billion, five hundred sixty-four million, six hundred thirteen thousand, fifty-two".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 103 119 172 206 238 301 412 476 602 721 731 1204 1442 1462 1751 2884 2924 3502 4429 5117 7004 8858 10234 12257 17716 20468 21613 24514 31003 43226 49028 62006 75293 86452 124012 150586 151291 301172 302582 367421 527051 605164 734842 929359 1054102 1469684 1858718 2108204 2226139 2571947 3717436 4452278 5143894 6505513 8904556 10287788 13011026 15582973 15799103 26022052 31165946 31598206 37844363 62331892 63196412 75688726 95723977 110593721 151377452 191447954 221187442 264910541 382895908 442374884 529821082 670067839 1059642164 1340135678 1627307609 2680271356 3254615218 6509230436 11391153263 22782306526 45564613052