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6141712896 = 29341113463
BaseRepresentation
bin1011011100001001…
…10001101000000000
3120212000201100020000
411232010301220000
5100034234303041
62453234120000
7305124461334
oct55604615000
916760640200
106141712896
112671922890
121234a20000
1376b555957
1442397b7c4
1525e2cbbb6
hex16e131a00

6141712896 has 200 divisors, whose sum is σ = 19999371744. Its totient is φ = 1860986880.

The previous prime is 6141712891. The next prime is 6141712909. The reversal of 6141712896 is 6982171416.

6141712896 is a `hidden beast` number, since 614 + 1 + 7 + 1 + 28 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6141712891) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 449461 + ... + 462923.

Almost surely, 26141712896 is an apocalyptic number.

6141712896 is a gapful number since it is divisible by the number (66) 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 6141712896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999685872).

6141712896 is an abundant number, since it is smaller than the sum of its proper divisors (13857658848).

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

6141712896 is a wasteful number, since it uses less digits than its factorization.

6141712896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13504 (or 13479 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 6141712896 is about 78369.0812501971. The cubic root of 6141712896 is about 1831.3154959455.

The spelling of 6141712896 in words is "six billion, one hundred forty-one million, seven hundred twelve thousand, eight hundred ninety-six".