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46875643326 = 236291139811
BaseRepresentation
bin101011101010000000…
…011000110110111110
311110222211210102000000
4223222000120312332
51232000131041301
633311231415130
73246423252111
oct535200306676
9143884712000
1046875643326
11189750956a6
1291026844a6
134560697575
1423a97d6578
151345439786
hexaea018dbe

46875643326 has 112 divisors (see below), whose sum is σ = 110033534160. Its totient is φ = 14951381760.

The previous prime is 46875643313. The next prime is 46875643349. The reversal of 46875643326 is 62334657864.

46875643326 is a `hidden beast` number, since 46 + 8 + 7 + 564 + 3 + 32 + 6 = 666.

46875643326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4772961 + ... + 4782771.

Almost surely, 246875643326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46875643326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55016767080).

46875643326 is an abundant number, since it is smaller than the sum of its proper divisors (63157890834).

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

46875643326 is a wasteful number, since it uses less digits than its factorization.

46875643326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9973 (or 9958 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 46875643326 in words is "forty-six billion, eight hundred seventy-five million, six hundred forty-three thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 113 162 174 226 243 261 339 486 522 678 729 783 1017 1458 1566 2034 2349 3051 3277 4698 6102 6554 7047 9153 9811 9831 14094 18306 19622 19662 21141 27459 29433 29493 42282 54918 58866 58986 82377 88299 88479 164754 176598 176958 264897 265437 284519 529794 530874 569038 794691 796311 853557 1108643 1589382 1592622 1707114 2217286 2384073 2388933 2560671 3325929 4768146 4777866 5121342 6651858 7152219 7682013 9977787 14304438 15364026 19955574 23046039 29933361 32150647 46092078 59866722 64301294 69138117 89800083 96451941 138276234 179600166 192903882 207414351 269400249 289355823 414828702 538800498 578711646 808200747 868067469 1616401494 1736134938 2604202407 5208404814 7812607221 15625214442 23437821663 46875643326