Search a number
-
+
46001716000 = 255311500429
BaseRepresentation
bin101010110101111010…
…100111101100100000
311101201221100022002021
4222311322213230200
51223202414403000
633044412231224
73215652064042
oct526572475440
9141657308067
1046001716000
1118566851109
128ab9a6b514
1344515cc3c6
142325705a92
1512e385d11a
hexab5ea7b20

46001716000 has 48 divisors (see below), whose sum is σ = 113026226040. Its totient is φ = 18400684800.

The previous prime is 46001715997. The next prime is 46001716009. The reversal of 46001716000 is 61710064.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10553863824 + 35447852176 = 102732^2 + 188276^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (46001716009) by changing a digit.

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, 5746215 + ... + 5754214.

Almost surely, 246001716000 is an apocalyptic number.

46001716000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46001716000 is an abundant number, since it is smaller than the sum of its proper divisors (67024510040).

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

46001716000 is a wasteful number, since it uses less digits than its factorization.

46001716000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500454 (or 11500436 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The spelling of 46001716000 in words is "forty-six billion, one million, seven hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 11500429 23000858 46001716 57502145 92003432 115004290 184006864 230008580 287510725 368013728 460017160 575021450 920034320 1150042900 1437553625 1840068640 2300085800 2875107250 4600171600 5750214500 9200343200 11500429000 23000858000 46001716000