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5189045760 = 29335372029
BaseRepresentation
bin1001101010100101…
…01000111000000000
3111101122002211121000
410311102220320000
541111343431020
62214523132000
7242406106203
oct46522507000
914348084530
105189045760
112223098978
121009974000
1364907bba2
1437323193a
1520584a090
hex1354a8e00

5189045760 has 320 divisors, whose sum is σ = 18939412800. Its totient is φ = 1345683456.

The previous prime is 5189045759. The next prime is 5189045761. The reversal of 5189045760 is 675409815.

5189045760 is a `hidden beast` number, since 51 + 8 + 90 + 457 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5189045759) and next prime (5189045761).

It is a tau number, because it is divible by the number of its divisors (320).

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 (5189045761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2556426 + ... + 2558454.

It is an arithmetic number, because the mean of its divisors is an integer number (59185665).

Almost surely, 25189045760 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 5189045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469706400).

5189045760 is an abundant number, since it is smaller than the sum of its proper divisors (13750367040).

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

5189045760 is a wasteful number, since it uses less digits than its factorization.

5189045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5189045760 is about 72035.0314777470. The cubic root of 5189045760 is about 1731.2608181194.

The spelling of 5189045760 in words is "five billion, one hundred eighty-nine million, forty-five thousand, seven hundred sixty".