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5409616992 = 253132333433
BaseRepresentation
bin1010000100111000…
…00011010001100000
3111222000011000102220
411002130003101200
542034330220432
62252442511040
7251024662053
oct50234032140
914860130386
105409616992
11232665134a
12106b805480
13682989600
1439464aa9a
15219db972c
hex142703460

5409616992 has 72 divisors (see below), whose sum is σ = 15376642344. Its totient is φ = 1664492544.

The previous prime is 5409616991. The next prime is 5409617011. The reversal of 5409616992 is 2996169045.

It is a super-3 number, since 3×54096169923 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5409616991) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 150493 + ... + 182940.

It is an arithmetic number, because the mean of its divisors is an integer number (213564477).

Almost surely, 25409616992 is an apocalyptic number.

5409616992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

5409616992 is an abundant number, since it is smaller than the sum of its proper divisors (9967025352).

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

5409616992 is a wasteful number, since it uses less digits than its factorization.

5409616992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333472 (or 333451 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The square root of 5409616992 is about 73550.0985179490. The cubic root of 5409616992 is about 1755.4515161997.

The spelling of 5409616992 in words is "five billion, four hundred nine million, six hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 16224 333433 666866 1000299 1333732 2000598 2667464 4001196 4334629 5334928 8002392 8669258 10669856 13003887 16004784 17338516 26007774 32009568 34677032 52015548 56350177 69354064 104031096 112700354 138708128 169050531 208062192 225400708 338101062 416124384 450801416 676202124 901602832 1352404248 1803205664 2704808496 5409616992