Search a number
-
+
45905690964 = 22372197396299
BaseRepresentation
bin101010110000001100…
…010100000101010100
311101111020122201111110
4222300030110011110
51223003324102324
633031102135020
73213404635500
oct526014240524
9141436581443
1045905690964
1118517625081
128a91881470
13443774ac63
142316a6b300
1512da1e1329
hexab0314154

45905690964 has 72 divisors (see below), whose sum is σ = 125233970400. Its totient is φ = 13049300544.

The previous prime is 45905690951. The next prime is 45905690993. The reversal of 45905690964 is 46909650954.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 82314 + ... + 313985.

It is an arithmetic number, because the mean of its divisors is an integer number (1739360700).

Almost surely, 245905690964 is an apocalyptic number.

It is an amenable number.

45905690964 is an abundant number, since it is smaller than the sum of its proper divisors (79328279436).

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

45905690964 is a wasteful number, since it uses less digits than its factorization.

45905690964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396517 (or 396508 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 57.

The spelling of 45905690964 in words is "forty-five billion, nine hundred five million, six hundred ninety thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 197 294 394 588 591 788 1182 1379 2364 2758 4137 5516 8274 9653 16548 19306 28959 38612 57918 115836 396299 792598 1188897 1585196 2377794 2774093 4755588 5548186 8322279 11096372 16644558 19418651 33289116 38837302 58255953 77674604 78070903 116511906 156141806 233023812 234212709 312283612 468425418 546496321 936850836 1092992642 1639488963 2185985284 3278977926 3825474247 6557955852 7650948494 11476422741 15301896988 22952845482 45905690964