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5634482304 = 273116412081
BaseRepresentation
bin1010011111101011…
…10110000010000000
3112112200021100122210
411033311312002000
543014411413204
62331034302120
7256425211053
oct51765660200
915480240583
105634482304
112431577a50
121112b87940
136ba43b6c9
143b6462a9a
1522e9d6389
hex14fd76080

5634482304 has 128 divisors (see below), whose sum is σ = 16360522560. Its totient is φ = 1703936000.

The previous prime is 5634482303. The next prime is 5634482309. The reversal of 5634482304 is 4032844365.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5634482303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2706544 + ... + 2708624.

Almost surely, 25634482304 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 5634482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8180261280).

5634482304 is an abundant number, since it is smaller than the sum of its proper divisors (10726040256).

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

5634482304 is a wasteful number, since it uses less digits than its factorization.

5634482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The square root of 5634482304 is about 75063.1887412199. The cubic root of 5634482304 is about 1779.4454258554.

It can be divided in two parts, 56 and 34482304, that added together give a triangular number (34482360 = T8304).

The spelling of 5634482304 in words is "five billion, six hundred thirty-four million, four hundred eighty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 641 704 1056 1282 1408 1923 2081 2112 2564 3846 4162 4224 5128 6243 7051 7692 8324 10256 12486 14102 15384 16648 20512 21153 22891 24972 28204 30768 33296 41024 42306 45782 49944 56408 61536 66592 68673 82048 84612 91564 99888 112816 123072 133184 137346 169224 183128 199776 225632 246144 266368 274692 338448 366256 399552 451264 549384 676896 732512 799104 902528 1098768 1333921 1353792 1465024 2197536 2667842 2707584 2930048 4001763 4395072 5335684 8003526 8790144 10671368 14673131 16007052 21342736 29346262 32014104 42685472 44019393 58692524 64028208 85370944 88038786 117385048 128056416 170741888 176077572 234770096 256112832 352155144 469540192 512225664 704310288 939080384 1408620576 1878160768 2817241152 5634482304