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46020468546 = 23313211310693
BaseRepresentation
bin101010110111000010…
…001001111101000010
311101210020122000202000
4222313002021331002
51223222214443141
633050322204430
73216300346143
oct526702117502
9141706560660
1046020468546
111857639a188
128b041b3716
134455466aa0
142327dc7aca
1512e53145b6
hexab7089f42

46020468546 has 64 divisors (see below), whose sum is σ = 110656775040. Its totient is φ = 14092989120.

The previous prime is 46020468469. The next prime is 46020468577. The reversal of 46020468546 is 64586402064.

46020468546 is a `hidden beast` number, since 4 + 60 + 2 + 0 + 46 + 8 + 546 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7225 + ... + 303468.

It is an arithmetic number, because the mean of its divisors is an integer number (1729012110).

Almost surely, 246020468546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46020468546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55328387520).

46020468546 is an abundant number, since it is smaller than the sum of its proper divisors (64636306494).

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

46020468546 is a wasteful number, since it uses less digits than its factorization.

46020468546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310928 (or 310922 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 46020468546 in words is "forty-six billion, twenty million, four hundred sixty-eight thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 211 234 351 422 633 702 1266 1899 2743 3798 5486 5697 8229 11394 16458 24687 49374 74061 148122 310693 621386 932079 1864158 2796237 4039009 5592474 8078018 8388711 12117027 16777422 24234054 36351081 65556223 72702162 109053243 131112446 196668669 218106486 393337338 590006007 852230899 1180012014 1704461798 1770018021 2556692697 3540036042 5113385394 7670078091 15340156182 23010234273 46020468546