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5110742336 = 26723152571
BaseRepresentation
bin1001100001001111…
…11011110101000000
3111012011202121111012
410300213323311000
540431322223321
62203044540052
7240435410300
oct46047736500
914164677435
105110742336
1121929763a7
12ba76b1628
13635a93abb
14366a8b600
151eda2e05b
hex1309fbd40

5110742336 has 84 divisors (see below), whose sum is σ = 12178198656. Its totient is φ = 2119622400.

The previous prime is 5110742333. The next prime is 5110742359. The reversal of 5110742336 is 6332470115.

It is a super-2 number, since 2×51107423362 = 52239374449965473792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5110742333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70931 + ... + 123501.

Almost surely, 25110742336 is an apocalyptic number.

5110742336 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 5110742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089099328).

5110742336 is an abundant number, since it is smaller than the sum of its proper divisors (7067456320).

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

5110742336 is a wasteful number, since it uses less digits than its factorization.

5110742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52628 (or 52611 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5110742336 is about 71489.4561176681. The cubic root of 5110742336 is about 1722.5083215213.

The spelling of 5110742336 in words is "five billion, one hundred ten million, seven hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 392 434 448 496 784 868 992 1519 1568 1736 1984 3038 3136 3472 6076 6944 12152 13888 24304 48608 52571 97216 105142 210284 367997 420568 735994 841136 1471988 1629701 1682272 2575979 2943976 3259402 3364544 5151958 5887952 6518804 10303916 11407907 11775904 13037608 20607832 22815814 23551808 26075216 41215664 45631628 52150432 79855349 82431328 91263256 104300864 159710698 164862656 182526512 319421396 365053024 638842792 730106048 1277685584 2555371168 5110742336