Search a number
-
+
60466563072 = 211331967859
BaseRepresentation
bin111000010100000101…
…101000100000000000
312210002000111122222000
4320110011220200000
51442313420004242
643440012144000
74240263206616
oct702405504000
9183060448860
1060466563072
1123709886883
12b876168000
135918305b06
142cd88236b6
15188d6b3a4c
hexe14168800

60466563072 has 384 divisors, whose sum is σ = 191580480000. Its totient is φ = 18787811328.

The previous prime is 60466563041. The next prime is 60466563077. The reversal of 60466563072 is 27036566406.

60466563072 is a `hidden beast` number, since 6 + 0 + 4 + 6 + 6 + 5 + 630 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (60466563077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70391379 + ... + 70392237.

It is an arithmetic number, because the mean of its divisors is an integer number (498907500).

Almost surely, 260466563072 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 60466563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95790240000).

60466563072 is an abundant number, since it is smaller than the sum of its proper divisors (131113916928).

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

60466563072 is a wasteful number, since it uses less digits than its factorization.

60466563072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 60466563072 in words is "sixty billion, four hundred sixty-six million, five hundred sixty-three thousand, seventy-two".