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6893897472 = 283371112953
BaseRepresentation
bin1100110101110100…
…01000011100000000
3122210110002021111000
412122322020130000
5103104314204342
63100024052000
7332560106310
oct63272103400
918713067430
106893897472
112a18475230
121404904000
1385b336897
1449581b440
152a535b44c
hex19ae88700

6893897472 has 288 divisors, whose sum is σ = 25418856960. Its totient is φ = 1790484480.

The previous prime is 6893897447. The next prime is 6893897473. The reversal of 6893897472 is 2747983986.

6893897472 is a `hidden beast` number, since 6 + 89 + 3 + 89 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6893897473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525748 + ... + 538700.

It is an arithmetic number, because the mean of its divisors is an integer number (88259920).

Almost surely, 26893897472 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 6893897472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12709428480).

6893897472 is an abundant number, since it is smaller than the sum of its proper divisors (18524959488).

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

6893897472 is a wasteful number, since it uses less digits than its factorization.

6893897472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996 (or 12976 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The square root of 6893897472 is about 83029.4976017560. The cubic root of 6893897472 is about 1903.2168471385.

The spelling of 6893897472 in words is "six billion, eight hundred ninety-three million, eight hundred ninety-seven thousand, four hundred seventy-two".