Search a number
-
+
46536600020 = 22517701195253
BaseRepresentation
bin101011010101110011…
…000010100111010100
311110010012211020000112
4223111303002213110
51230301332200040
633213440502152
73235135400501
oct532563024724
9143105736015
1046536600020
1118810774419
12902901a958
134508379521
14237677c4a8
1513257b7365
hexad5cc29d4

46536600020 has 48 divisors (see below), whose sum is σ = 103623640848. Its totient is φ = 17494579200.

The previous prime is 46536600013. The next prime is 46536600029. The reversal of 46536600020 is 2000663564.

46536600020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1789966864 + 44746633156 = 42308^2 + 211534^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46536600020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46536600029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140714 + ... + 335966.

It is an arithmetic number, because the mean of its divisors is an integer number (2158825851).

Almost surely, 246536600020 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 46536600020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51811820424).

46536600020 is an abundant number, since it is smaller than the sum of its proper divisors (57087040828).

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

46536600020 is a wasteful number, since it uses less digits than its factorization.

46536600020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195980 (or 195978 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 46536600020 in words is "forty-six billion, five hundred thirty-six million, six hundred thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 701 1402 2804 3505 7010 11917 14020 23834 47668 59585 119170 195253 238340 390506 781012 976265 1952530 3319301 3905060 6638602 13277204 16596505 33193010 66386020 136872353 273744706 547489412 684361765 1368723530 2326830001 2737447060 4653660002 9307320004 11634150005 23268300010 46536600020