Search a number
-
+
46248467936 = 2511641204973
BaseRepresentation
bin101011000100100111…
…111001110111100000
311102101010122121002212
4223010213321313200
51224204101433221
633125105101252
73225036330326
oct530447716740
9142333577085
1046248467936
1118683066530
128b68627828
134490775578
14234a3b7d16
15130a34eb5b
hexac49f9de0

46248467936 has 48 divisors (see below), whose sum is σ = 99484540848. Its totient is φ = 20989132800.

The previous prime is 46248467917. The next prime is 46248468017. The reversal of 46248467936 is 63976484264.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 123146 + ... + 328118.

It is an arithmetic number, because the mean of its divisors is an integer number (2072594601).

Almost surely, 246248467936 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 46248467936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49742270424).

46248467936 is an abundant number, since it is smaller than the sum of its proper divisors (53236072912).

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

46248467936 is a wasteful number, since it uses less digits than its factorization.

46248467936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205635 (or 205627 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 59.

The spelling of 46248467936 in words is "forty-six billion, two hundred forty-eight million, four hundred sixty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 641 1282 2564 5128 7051 10256 14102 20512 28204 56408 112816 204973 225632 409946 819892 1639784 2254703 3279568 4509406 6559136 9018812 18037624 36075248 72150496 131387693 262775386 525550772 1051101544 1445264623 2102203088 2890529246 4204406176 5781058492 11562116984 23124233968 46248467936