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5196349008 = 2432594631321
BaseRepresentation
bin1001101011011100…
…11111111001010000
3111102010211212202200
410311232133321100
541120231132013
62215343443200
7242525144364
oct46556377120
914363755680
105196349008
112227226a14
1210102b6500
1364a738136
143741b32a4
152062dde73
hex135b9fe50

5196349008 has 120 divisors (see below), whose sum is σ = 14832205440. Its totient is φ = 1697794560.

The previous prime is 5196348977. The next prime is 5196349019. The reversal of 5196349008 is 8009436915.

It is a happy number.

5196349008 is a `hidden beast` number, since 5 + 1 + 9 + 634 + 9 + 0 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3932988 + ... + 3934308.

It is an arithmetic number, because the mean of its divisors is an integer number (123601712).

Almost surely, 25196349008 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 5196349008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7416102720).

5196349008 is an abundant number, since it is smaller than the sum of its proper divisors (9635856432).

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

5196349008 is a wasteful number, since it uses less digits than its factorization.

5196349008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 5196349008 is about 72085.7059894678. The cubic root of 5196349008 is about 1732.0726501038.

The spelling of 5196349008 in words is "five billion, one hundred ninety-six million, three hundred forty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 463 472 531 708 926 944 1062 1321 1389 1416 1852 2124 2642 2778 2832 3704 3963 4167 4248 5284 5556 7408 7926 8334 8496 10568 11112 11889 15852 16668 21136 22224 23778 27317 31704 33336 47556 54634 63408 66672 77939 81951 95112 109268 155878 163902 190224 218536 233817 245853 311756 327804 437072 467634 491706 611623 623512 655608 701451 935268 983412 1223246 1247024 1311216 1402902 1834869 1870536 1966824 2446492 2805804 3669738 3741072 3933648 4892984 5504607 5611608 7339476 9785968 11009214 11223216 14678952 22018428 29357904 36085757 44036856 72171514 88073712 108257271 144343028 216514542 288686056 324771813 433029084 577372112 649543626 866058168 1299087252 1732116336 2598174504 5196349008