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5426776656 = 24337219103131
BaseRepresentation
bin1010000110111011…
…00000101001010000
3112000012102211002000
411003131200221100
542103223323111
62254254354000
7251323561200
oct50335405120
915005384060
105426776656
112335301694
1210754bb900
136863b6c62
14396a36400
1521b658c56
hex143760a50

5426776656 has 480 divisors, whose sum is σ = 19405900800. Its totient is φ = 1443536640.

The previous prime is 5426776639. The next prime is 5426776657. The reversal of 5426776656 is 6566776245.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5426776657) 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 95 ways as a sum of consecutive naturals, for example, 41425711 + ... + 41425841.

It is an arithmetic number, because the mean of its divisors is an integer number (40428960).

Almost surely, 25426776656 is an apocalyptic number.

5426776656 is a gapful number since it is divisible by the number (56) 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 5426776656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9702950400).

5426776656 is an abundant number, since it is smaller than the sum of its proper divisors (13979124144).

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

5426776656 is a wasteful number, since it uses less digits than its factorization.

5426776656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The square root of 5426776656 is about 73666.6590527900. The cubic root of 5426776656 is about 1757.3056932802.

The spelling of 5426776656 in words is "five billion, four hundred twenty-six million, seven hundred seventy-six thousand, six hundred fifty-six".