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5434729776 = 243375983367
BaseRepresentation
bin1010000111110111…
…10110010100110000
3112000202101212201000
411003323312110300
542112242323101
62255141042000
7251451304140
oct50373662460
915022355630
105434729776
112339843a13
1210780b6300
13687c3cc48
14397b06920
1521c1ca486
hex143ef6530

5434729776 has 320 divisors, whose sum is σ = 18398822400. Its totient is φ = 1503961344.

The previous prime is 5434729739. The next prime is 5434729799. The reversal of 5434729776 is 6779274345.

5434729776 is a `hidden beast` number, since 5 + 4 + 347 + 297 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14808345 + ... + 14808711.

It is an arithmetic number, because the mean of its divisors is an integer number (57496320).

Almost surely, 25434729776 is an apocalyptic number.

5434729776 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 5434729776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199411200).

5434729776 is an abundant number, since it is smaller than the sum of its proper divisors (12964092624).

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

5434729776 is a wasteful number, since it uses less digits than its factorization.

5434729776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The square root of 5434729776 is about 73720.6197478019. The cubic root of 5434729776 is about 1758.1637373847.

The spelling of 5434729776 in words is "five billion, four hundred thirty-four million, seven hundred twenty-nine thousand, seven hundred seventy-six".