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5368519008 = 2532194123929
BaseRepresentation
bin1001111111111110…
…10001100101100000
3111212010211000121100
410333333101211200
541443320102013
62244413554400
7250015441626
oct47777214540
914763730540
105368519008
112305430876
121059aa5a00
136772ca088
1438cdcd516
1521649c473
hex13ffd1960

5368519008 has 144 divisors (see below), whose sum is σ = 16462882800. Its totient is φ = 1653903360.

The previous prime is 5368519007. The next prime is 5368519019. The reversal of 5368519008 is 8009158635.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5368519007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212388 + ... + 236316.

It is an arithmetic number, because the mean of its divisors is an integer number (114325575).

Almost surely, 25368519008 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 5368519008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231441400).

5368519008 is an abundant number, since it is smaller than the sum of its proper divisors (11094363792).

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

5368519008 is a wasteful number, since it uses less digits than its factorization.

5368519008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24005 (or 23994 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5368519008 is about 73270.1781627423. The cubic root of 5368519008 is about 1750.9947006815.

The spelling of 5368519008 in words is "five billion, three hundred sixty-eight million, five hundred nineteen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 456 492 608 656 684 738 779 912 984 1312 1368 1476 1558 1824 1968 2337 2736 2952 3116 3936 4674 5472 5904 6232 7011 9348 11808 12464 14022 18696 23929 24928 28044 37392 47858 56088 71787 74784 95716 112176 143574 191432 215361 224352 287148 382864 430722 454651 574296 765728 861444 909302 981089 1148592 1363953 1722888 1818604 1962178 2297184 2727906 2943267 3445776 3637208 3924356 4091859 5455812 5886534 6891552 7274416 7848712 8183718 8829801 10911624 11773068 14548832 15697424 16367436 17659602 18640691 21823248 23546136 31394848 32734872 35319204 37281382 43646496 47092272 55922073 65469744 70638408 74562764 94184544 111844146 130939488 141276816 149125528 167766219 223688292 282553632 298251056 335532438 447376584 596502112 671064876 894753168 1342129752 1789506336 2684259504 5368519008