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5109138504 = 233416348371
BaseRepresentation
bin1001100001000011…
…10100010001001000
3111012001202010110000
410300201310101020
540430414413004
62202550323000
7240415650351
oct46041642110
914161663400
105109138504
112191a80418
12ba7059460
13635651aa2
14366790d28
151ed813c39
hex130874448

5109138504 has 80 divisors (see below), whose sum is σ = 14398409520. Its totient is φ = 1692563040.

The previous prime is 5109138497. The next prime is 5109138547. The reversal of 5109138504 is 4058319015.

5109138504 is a `hidden beast` number, since 5 + 10 + 9 + 138 + 504 = 666.

It is a super-2 number, since 2×51091385042 = 52206592506110716032, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81439 + ... + 129809.

It is an arithmetic number, because the mean of its divisors is an integer number (179980119).

Almost surely, 25109138504 is an apocalyptic number.

5109138504 is a gapful number since it is divisible by the number (54) 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 5109138504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199204760).

5109138504 is an abundant number, since it is smaller than the sum of its proper divisors (9289271016).

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

5109138504 is a wasteful number, since it uses less digits than its factorization.

5109138504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48552 (or 48539 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5109138504 is about 71478.2379749249. The cubic root of 5109138504 is about 1722.3281191933.

The spelling of 5109138504 in words is "five billion, one hundred nine million, one hundred thirty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 163 216 324 326 489 648 652 978 1304 1467 1956 2934 3912 4401 5868 8802 11736 13203 17604 26406 35208 48371 52812 96742 105624 145113 193484 290226 386968 435339 580452 870678 1160904 1306017 1741356 2612034 3482712 3918051 5224068 7836102 7884473 10448136 15672204 15768946 23653419 31344408 31537892 47306838 63075784 70960257 94613676 141920514 189227352 212880771 283841028 425761542 567682056 638642313 851523084 1277284626 1703046168 2554569252 5109138504