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5309012736 = 283222310333
BaseRepresentation
bin1001111000111000…
…10001101100000000
3111200222211210100100
410330130101230000
541333101401421
62234450322400
7245363602146
oct47434215400
914628753310
105309012736
112284887935
121041b89400
13667b93a71
1438513d596
15211145c26
hex13c711b00

5309012736 has 108 divisors (see below), whose sum is σ = 15377322688. Its totient is φ = 1761564672.

The previous prime is 5309012729. The next prime is 5309012767. The reversal of 5309012736 is 6372109035.

5309012736 is a `hidden beast` number, since 530 + 90 + 1 + 2 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5309012736.

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 11 ways as a sum of consecutive naturals, for example, 508626 + ... + 518958.

Almost surely, 25309012736 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 5309012736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688661344).

5309012736 is an abundant number, since it is smaller than the sum of its proper divisors (10068309952).

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

5309012736 is a wasteful number, since it uses less digits than its factorization.

5309012736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10578 (or 10561 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5309012736 is about 72862.9723247686. The cubic root of 5309012736 is about 1744.5011325354.

The spelling of 5309012736 in words is "five billion, three hundred nine million, twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 223 256 288 384 446 576 669 768 892 1152 1338 1784 2007 2304 2676 3568 4014 5352 7136 8028 10333 10704 14272 16056 20666 21408 28544 30999 32112 41332 42816 57088 61998 64224 82664 85632 92997 123996 128448 165328 171264 185994 247992 256896 330656 371988 495984 513792 661312 743976 991968 1322624 1487952 1983936 2304259 2645248 2975904 3967872 4608518 5951808 6912777 7935744 9217036 11903616 13825554 18434072 20738331 23807232 27651108 36868144 41476662 55302216 73736288 82953324 110604432 147472576 165906648 221208864 294945152 331813296 442417728 589890304 663626592 884835456 1327253184 1769670912 2654506368 5309012736