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69839293896 = 2332969990193
BaseRepresentation
bin100000100001010111…
…1110000110111001000
320200021012221201112200
41001002233300313020
52121012324401041
652030030240200
75021453126511
oct1010257606710
9220235851480
1069839293896
1127689508209
1211651056060
13678006a698
143547541a08
151c3b4691b6
hex1042bf0dc8

69839293896 has 24 divisors (see below), whose sum is σ = 189148087830. Its totient is φ = 23279764608.

The previous prime is 69839293889. The next prime is 69839293913.

69839293896 is a `hidden beast` number, since 69 + 8 + 392 + 93 + 8 + 96 = 666.

69839293896 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 69743528100 + 95765796 = 264090^2 + 9786^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×698392938963 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 969990193 = 69839293896 / (6 + 9 + 8 + 3 + 9 + 2 + 9 + 3 + 8 + 9 + 6).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 484995025 + ... + 484995168.

Almost surely, 269839293896 is an apocalyptic number.

It is an amenable number.

69839293896 is an abundant number, since it is smaller than the sum of its proper divisors (119308793934).

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

69839293896 is a wasteful number, since it uses less digits than its factorization.

69839293896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969990205 (or 969990198 counting only the distinct ones).

The product of its digits is 272097792, while the sum is 72.

The spelling of 69839293896 in words is "sixty-nine billion, eight hundred thirty-nine million, two hundred ninety-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 969990193 1939980386 2909970579 3879960772 5819941158 7759921544 8729911737 11639882316 17459823474 23279764632 34919646948 69839293896