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69346376064 = 27327171932621
BaseRepresentation
bin100000010010101011…
…1011011100110000000
320121222212102220101200
41000211113123212000
52114010133013224
651505101301200
75003316320340
oct1004527334600
9217885386350
1069346376064
11274562487a9
1211533b64800
136701bc5024
1434dbcb0d20
151c0d04e5c9
hex10255db980

69346376064 has 384 divisors, whose sum is σ = 242817756480. Its totient is φ = 18544066560.

The previous prime is 69346376053. The next prime is 69346376069. The reversal of 69346376064 is 46067364396.

69346376064 is a `hidden beast` number, since 69 + 3 + 463 + 7 + 60 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 69346376064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69346376069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26456674 + ... + 26459294.

Almost surely, 269346376064 is an apocalyptic number.

69346376064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69346376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121408878240).

69346376064 is an abundant number, since it is smaller than the sum of its proper divisors (173471380416).

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

69346376064 is a wasteful number, since it uses less digits than its factorization.

69346376064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2843 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 69346376064 in words is "sixty-nine billion, three hundred forty-six million, three hundred seventy-six thousand, sixty-four".