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5337509504 = 2743472439
BaseRepresentation
bin1001111100010001…
…11110111010000000
3111202222110120120012
410332020332322000
541412400301004
62241345204052
7246161040125
oct47610767200
914688416505
105337509504
112299980988
12104b630628
13670a60762
14388c3a74c
152138c446e
hex13e23ee80

5337509504 has 96 divisors (see below), whose sum is σ = 11142357600. Its totient is φ = 2545417728.

The previous prime is 5337509503. The next prime is 5337509509. The reversal of 5337509504 is 4059057335.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5337509503) 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, 12158117 + ... + 12158555.

It is an arithmetic number, because the mean of its divisors is an integer number (116066225).

Almost surely, 25337509504 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 5337509504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571178800).

5337509504 is an abundant number, since it is smaller than the sum of its proper divisors (5804848096).

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

5337509504 is an equidigital number, since it uses as much as digits as its factorization.

5337509504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 41.

The square root of 5337509504 is about 73058.2610250203. The cubic root of 5337509504 is about 1747.6168381352.

The spelling of 5337509504 in words is "five billion, three hundred thirty-seven million, five hundred nine thousand, five hundred four".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 128 172 188 344 376 439 688 752 878 1376 1504 1756 2021 2209 2752 3008 3512 4042 4418 5504 6016 7024 8084 8836 14048 16168 17672 18877 20633 28096 32336 35344 37754 41266 56192 64672 70688 75508 82532 94987 129344 141376 151016 165064 189974 258688 282752 302032 330128 379948 604064 660256 759896 887219 969751 1208128 1320512 1519792 1774438 1939502 2416256 2641024 3039584 3548876 3879004 6079168 7097752 7758008 12158336 14195504 15516016 28391008 31032032 41699293 56782016 62064064 83398586 113564032 124128128 166797172 333594344 667188688 1334377376 2668754752 5337509504