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69189894144 = 217347319
BaseRepresentation
bin100000001110000001…
…0100000000000000000
320121120221222210120000
41000130002200000000
52113200103103034
651441351320000
74666406253000
oct1003402400000
9217527883500
1069189894144
11273859895a8
12114ab680000
1366a8666987
1434c51ba000
151bee43e599
hex101c0a0000

69189894144 has 720 divisors, whose sum is σ = 253754424000. Its totient is φ = 18728091648.

The previous prime is 69189894131. The next prime is 69189894247. The reversal of 69189894144 is 44149898196.

69189894144 is a `hidden beast` number, since 69 + 1 + 89 + 89 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 39 ways as a sum of consecutive naturals, for example, 3641573367 + ... + 3641573385.

It is an arithmetic number, because the mean of its divisors is an integer number (352436700).

Almost surely, 269189894144 is an apocalyptic number.

69189894144 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 69189894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126877212000).

69189894144 is an abundant number, since it is smaller than the sum of its proper divisors (184564529856).

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

69189894144 is an frugal number, since it uses more digits than its factorization.

69189894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 31 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 69189894144 in words is "sixty-nine billion, one hundred eighty-nine million, eight hundred ninety-four thousand, one hundred forty-four".