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46107683406 = 2333188331193
BaseRepresentation
bin101010111100001110…
…110110101001001110
311102000022202000001000
4222330032312221032
51223412031332111
633103115401130
73221406561651
oct527416665116
9142008660030
1046107683406
1118610648a84
128b294531a6
13446a552105
14233580b898
1512ecce0c56
hexabc3b6a4e

46107683406 has 64 divisors (see below), whose sum is σ = 105889904640. Its totient is φ = 14856125760.

The previous prime is 46107683399. The next prime is 46107683473. The reversal of 46107683406 is 60438670164.

It is a happy number.

46107683406 is a `hidden beast` number, since 461 + 0 + 76 + 83 + 40 + 6 = 666.

It is a hoax number, since the sum of its digits (45) 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, 1462546 + ... + 1493738.

It is an arithmetic number, because the mean of its divisors is an integer number (1654529760).

Almost surely, 246107683406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46107683406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52944952320).

46107683406 is an abundant number, since it is smaller than the sum of its proper divisors (59782221234).

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

46107683406 is a wasteful number, since it uses less digits than its factorization.

46107683406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32118 (or 32112 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 46107683406 in words is "forty-six billion, one hundred seven million, six hundred eighty-three thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 883 1674 1766 2649 5298 7947 15894 23841 27373 31193 47682 54746 62386 82119 93579 164238 187158 246357 280737 492714 561474 739071 842211 966983 1478142 1684422 1933966 2900949 5801898 8702847 17405694 26108541 27543419 52217082 55086838 82630257 165260514 247890771 495781542 743672313 853845989 1487344626 1707691978 2561537967 5123075934 7684613901 15369227802 23053841703 46107683406