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5090009344 = 28713612087
BaseRepresentation
bin1001011110110001…
…10110000100000000
3111010201202021011121
410233120312010000
540411020244334
62201024322024
7240064236250
oct45730660400
914121667147
105090009344
1121821a53a2
12ba0773314
136316b4b64
14364011960
151ebcd5db4
hex12f636100

5090009344 has 72 divisors (see below), whose sum is σ = 11625683328. Its totient is φ = 2178785280.

The previous prime is 5090009339. The next prime is 5090009359. The reversal of 5090009344 is 4439000905.

It is a super-3 number, since 3×50900093443 (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2437869 + ... + 2439955.

It is an arithmetic number, because the mean of its divisors is an integer number (161467824).

Almost surely, 25090009344 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 5090009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812841664).

5090009344 is an abundant number, since it is smaller than the sum of its proper divisors (6535673984).

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

5090009344 is a wasteful number, since it uses less digits than its factorization.

5090009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3471 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 5090009344 is about 71344.3014122361. The cubic root of 5090009344 is about 1720.1759041298.

The spelling of 5090009344 in words is "five billion, ninety million, nine thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1361 1792 2087 2722 4174 5444 8348 9527 10888 14609 16696 19054 21776 29218 33392 38108 43552 58436 66784 76216 87104 116872 133568 152432 174208 233744 267136 304864 348416 467488 534272 609728 934976 1219456 1869952 2438912 2840407 3739904 5680814 11361628 19882849 22723256 39765698 45446512 79531396 90893024 159062792 181786048 318125584 363572096 636251168 727144192 1272502336 2545004672 5090009344