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46136476464 = 24313891974217
BaseRepresentation
bin101010111101111100…
…101100001100110000
311102002022220211200120
4222331330230030300
51223441414221324
633110024450240
73222206402511
oct527574541460
9142068824616
1046136476464
11186259246a1
128b37019980
1344734c3920
142339584a08
1513005cc179
hexabdf2c330

46136476464 has 160 divisors (see below), whose sum is σ = 130486023360. Its totient is φ = 13961773056.

The previous prime is 46136476427. The next prime is 46136476499. The reversal of 46136476464 is 46467463164.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10938484 + ... + 10942700.

It is an arithmetic number, because the mean of its divisors is an integer number (815537646).

Almost surely, 246136476464 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 46136476464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65243011680).

46136476464 is an abundant number, since it is smaller than the sum of its proper divisors (84349546896).

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

46136476464 is a wasteful number, since it uses less digits than its factorization.

46136476464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4521 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 51.

The spelling of 46136476464 in words is "forty-six billion, one hundred thirty-six million, four hundred seventy-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 197 208 267 312 356 394 534 591 624 712 788 1068 1157 1182 1424 1576 2136 2314 2364 2561 3152 3471 4217 4272 4628 4728 5122 6942 7683 8434 9256 9456 10244 12651 13884 15366 16868 17533 18512 20488 25302 27768 30732 33736 35066 40976 50604 52599 54821 55536 61464 67472 70132 101208 105198 109642 122928 140264 164463 202416 210396 219284 227929 280528 328926 375313 420792 438568 455858 657852 683787 750626 830749 841584 877136 911716 1125939 1315704 1367574 1501252 1661498 1823432 2251878 2492247 2631408 2735148 3002504 3322996 3646864 4503756 4879069 4984494 5470296 6005008 6645992 9007512 9758138 9968988 10799737 10940592 13291984 14637207 18015024 19516276 19937976 21599474 29274414 32399211 39032552 39875952 43198948 58548828 64798422 73936661 78065104 86397896 117097656 129596844 147873322 172795792 221809983 234195312 259193688 295746644 443619966 518387376 591493288 887239932 961176593 1182986576 1774479864 1922353186 2883529779 3548959728 3844706372 5767059558 7689412744 11534119116 15378825488 23068238232 46136476464