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5459139504 = 2434713411129
BaseRepresentation
bin1010001010110001…
…11101101110110000
3112002110100000120000
411011120331232300
542140014431004
62301412150000
7252165630420
oct50530755660
915073300500
105459139504
1123515a6345
121084308300
13690008580
1439b05c480
1521e3ecc39
hex14563dbb0

5459139504 has 400 divisors, whose sum is σ = 19938515520. Its totient is φ = 1403412480.

The previous prime is 5459139487. The next prime is 5459139523. The reversal of 5459139504 is 4059319545.

5459139504 is a `hidden beast` number, since 5 + 4 + 5 + 9 + 139 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5459139504.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 4834812 + ... + 4835940.

Almost surely, 25459139504 is an apocalyptic number.

5459139504 is a gapful number since it is divisible by the number (54) 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 5459139504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969257760).

5459139504 is an abundant number, since it is smaller than the sum of its proper divisors (14479376016).

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

5459139504 is a wasteful number, since it uses less digits than its factorization.

5459139504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 5459139504 is about 73885.9899033640. The cubic root of 5459139504 is about 1760.7920316035.

The spelling of 5459139504 in words is "five billion, four hundred fifty-nine million, one hundred thirty-nine thousand, five hundred four".