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5109570816 = 28376115581
BaseRepresentation
bin1001100001000110…
…11101110100000000
3111012002120002110120
410300203131310000
540431022231231
62203003500240
7240422430630
oct46043356400
914162502416
105109570816
1121922461a9
12ba7227680
136357737ac
143668646c0
151ed89bd96
hex1308ddd00

5109570816 has 144 divisors (see below), whose sum is σ = 15797405568. Its totient is φ = 1435852800.

The previous prime is 5109570811. The next prime is 5109570827. The reversal of 5109570816 is 6180759015.

It is a super-2 number, since 2×51095708162 = 52215427847437811712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5109570811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 320146 + ... + 335726.

Almost surely, 25109570816 is an apocalyptic number.

5109570816 is a gapful number since it is divisible by the number (56) 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 5109570816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898702784).

5109570816 is an abundant number, since it is smaller than the sum of its proper divisors (10687834752).

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

5109570816 is a wasteful number, since it uses less digits than its factorization.

5109570816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15668 (or 15654 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 5109570816 is about 71481.2619922172. The cubic root of 5109570816 is about 1722.3766963401.

The spelling of 5109570816 in words is "five billion, one hundred nine million, five hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 672 732 768 854 896 976 1281 1344 1464 1708 1792 1952 2562 2688 2928 3416 3904 5124 5376 5856 6832 7808 10248 11712 13664 15581 15616 20496 23424 27328 31162 40992 46743 46848 54656 62324 81984 93486 109067 109312 124648 163968 186972 218134 249296 327201 327936 373944 436268 498592 654402 747888 872536 950441 997184 1308804 1495776 1745072 1900882 1994368 2617608 2851323 2991552 3490144 3801764 3988736 5235216 5702646 5983104 6653087 6980288 7603528 10470432 11405292 11966208 13306174 13960576 15207056 19959261 20940864 22810584 26612348 27921152 30414112 39918522 41881728 45621168 53224696 60828224 79837044 83763456 91242336 106449392 121656448 159674088 182484672 212898784 243312896 319348176 364969344 425797568 638696352 729938688 851595136 1277392704 1703190272 2554785408 5109570816