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46896069864 = 23372069134917
BaseRepresentation
bin101011101011001110…
…010011110011101000
311111001021020011221110
4223223032103303220
51232020343213424
633313241310320
73250062005520
oct535316236350
9144037204843
1046896069864
1118985677436
1291094953a0
134564999b87
1423ac3d2680
151347121c29
hexaeb393ce8

46896069864 has 64 divisors (see below), whose sum is σ = 134054524800. Its totient is φ = 13392301824.

The previous prime is 46896069841. The next prime is 46896069881.

46896069864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46896069795 and 46896069804.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280134 + ... + 415050.

It is an arithmetic number, because the mean of its divisors is an integer number (2094601950).

Almost surely, 246896069864 is an apocalyptic number.

It is an amenable number.

46896069864 is an abundant number, since it is smaller than the sum of its proper divisors (87158454936).

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

46896069864 is a wasteful number, since it uses less digits than its factorization.

46896069864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137002 (or 136998 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 66.

The spelling of 46896069864 in words is "forty-six billion, eight hundred ninety-six million, sixty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2069 4138 6207 8276 12414 14483 16552 24828 28966 43449 49656 57932 86898 115864 134917 173796 269834 347592 404751 539668 809502 944419 1079336 1619004 1888838 2833257 3238008 3777676 5666514 7555352 11333028 22666056 279143273 558286546 837429819 1116573092 1674859638 1954002911 2233146184 3349719276 3908005822 5862008733 6699438552 7816011644 11724017466 15632023288 23448034932 46896069864