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5605493408 = 253189173367
BaseRepresentation
bin1010011100001110…
…10000101010100000
3112110122201120100222
411032013100222200
542440001242113
62324121102212
7255623623244
oct51607205240
915418646328
105605493408
112417178189
121105327968
136b442ba08
143b2678424
1522c1abe08
hex14e1d0aa0

5605493408 has 96 divisors (see below), whose sum is σ = 11617966080. Its totient is φ = 2659092480.

The previous prime is 5605493363. The next prime is 5605493471. The reversal of 5605493408 is 8043945065.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15273641 + ... + 15274007.

It is an arithmetic number, because the mean of its divisors is an integer number (121020480).

Almost surely, 25605493408 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 5605493408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808983040).

5605493408 is an abundant number, since it is smaller than the sum of its proper divisors (6012472672).

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

5605493408 is a wasteful number, since it uses less digits than its factorization.

5605493408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 5605493408 is about 74869.8431145678. The cubic root of 5605493408 is about 1776.3884826387.

The spelling of 5605493408 in words is "five billion, six hundred five million, four hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 31 32 62 89 124 173 178 248 346 356 367 496 692 712 734 992 1384 1424 1468 2759 2768 2848 2936 5363 5518 5536 5872 10726 11036 11377 11744 15397 21452 22072 22754 30794 32663 42904 44144 45508 61588 63491 65326 85808 88288 91016 123176 126982 130652 171616 182032 246352 253964 261304 364064 477307 492704 507928 522608 954614 1012553 1015856 1045216 1909228 1968221 2025106 2031712 3818456 3936442 4050212 5650699 7636912 7872884 8100424 11301398 15273824 15745768 16200848 22602796 31491536 32401696 45205592 62983072 90411184 175171669 180822368 350343338 700686676 1401373352 2802746704 5605493408