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5344424176 = 247135369257
BaseRepresentation
bin1001111101000110…
…10111000011110000
3111210110110212201011
410332203113003300
541421133033201
62242153320304
7246303566410
oct47643270360
914713425634
105344424176
1122a2873a93
121051a06094
13672311b90
14389b1a640
152142dd151
hex13e8d70f0

5344424176 has 80 divisors (see below), whose sum is σ = 12985043904. Its totient is φ = 2074355712.

The previous prime is 5344424131. The next prime is 5344424179. The reversal of 5344424176 is 6714244435.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5344424179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42540 + ... + 111796.

Almost surely, 25344424176 is an apocalyptic number.

5344424176 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 5344424176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492521952).

5344424176 is an abundant number, since it is smaller than the sum of its proper divisors (7640619728).

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

5344424176 is a wasteful number, since it uses less digits than its factorization.

5344424176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69338 (or 69332 counting only the distinct ones).

The product of its digits is 322560, while the sum is 40.

The square root of 5344424176 is about 73105.5687071785. The cubic root of 5344424176 is about 1748.3711838749.

The spelling of 5344424176 in words is "five billion, three hundred forty-four million, four hundred twenty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 53 56 91 104 106 112 182 208 212 364 371 424 689 728 742 848 1378 1456 1484 2756 2968 4823 5512 5936 9646 11024 19292 38584 69257 77168 138514 277028 484799 554056 900341 969598 1108112 1800682 1939196 3601364 3670621 3878392 6302387 7202728 7341242 7756784 12604774 14405456 14682484 25209548 25694347 29364968 47718073 50419096 51388694 58729936 95436146 100838192 102777388 190872292 205554776 334026511 381744584 411109552 668053022 763489168 1336106044 2672212088 5344424176