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5681249280 = 210345719103
BaseRepresentation
bin1010100101010000…
…01111110000000000
3112122221021100220000
411102220033300000
543113344434110
62335424520000
7260533551660
oct52250176000
915587240800
105681249280
112455a0a743
121126780000
136c7034385
143bc7581a0
15233b731c0
hex152a0fc00

5681249280 has 880 divisors, whose sum is σ = 24729070080. Its totient is φ = 1218281472.

The previous prime is 5681249237. The next prime is 5681249281. The reversal of 5681249280 is 829421865.

5681249280 is a `hidden beast` number, since 5 + 6 + 81 + 2 + 492 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5681249281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55157709 + ... + 55157811.

It is an arithmetic number, because the mean of its divisors is an integer number (28101216).

Almost surely, 25681249280 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 5681249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364535040).

5681249280 is an abundant number, since it is smaller than the sum of its proper divisors (19047820800).

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

5681249280 is a wasteful number, since it uses less digits than its factorization.

5681249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5681249280 is about 75374.0623822280. The cubic root of 5681249280 is about 1784.3550809096.

The spelling of 5681249280 in words is "five billion, six hundred eighty-one million, two hundred forty-nine thousand, two hundred eighty".