Search a number
-
+
66896796456 = 233474193173
BaseRepresentation
bin111110010011010111…
…000001101100101000
320101200011010100220000
4332103113001230220
52044001034441311
650422034303000
74555523250000
oct762327015450
9211604110800
1066896796456
1126409552346
1210b6b727a60
13640156a439
143348827000
151b17e83056
hexf935c1b28

66896796456 has 800 divisors, whose sum is σ = 240769478400. Its totient is φ = 17283248640.

The previous prime is 66896796443. The next prime is 66896796493. The reversal of 66896796456 is 65469769866.

It is a happy number.

66896796456 is a `hidden beast` number, since 6 + 6 + 89 + 6 + 7 + 96 + 456 = 666.

66896796456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (705438720) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 916394436 + ... + 916394508.

It is an arithmetic number, because the mean of its divisors is an integer number (300961848).

Almost surely, 266896796456 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 66896796456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120384739200).

66896796456 is an abundant number, since it is smaller than the sum of its proper divisors (173872681944).

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

66896796456 is a wasteful number, since it uses less digits than its factorization.

66896796456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 135 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 66896796456 in words is "sixty-six billion, eight hundred ninety-six million, seven hundred ninety-six thousand, four hundred fifty-six".