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334472696064 = 283513676173
BaseRepresentation
bin1001101111000000010…
…00000101000100000000
31011222022222101102200000
410313200020011010000
520440000002233224
6413353222400000
733110355002403
oct4674010050400
91158288342600
10334472696064
11119938132061
12549a6290000
1325704a2a710
141228d5c9d3a
158a78cd10c9
hex4de0205100

334472696064 has 432 divisors, whose sum is σ = 1093266038592. Its totient is φ = 101362212864.

The previous prime is 334472696057. The next prime is 334472696189. The reversal of 334472696064 is 460696274433.

334472696064 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 7 + 26 + 9 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3344726960642 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 334472696064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54180082 + ... + 54186254.

Almost surely, 2334472696064 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 334472696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546633019296).

334472696064 is an abundant number, since it is smaller than the sum of its proper divisors (758793342528).

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

334472696064 is an equidigital number, since it uses as much as digits as its factorization.

334472696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6284 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 334472696064 in words is "three hundred thirty-four billion, four hundred seventy-two million, six hundred ninety-six thousand, sixty-four".