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5459368356 = 2233139740087
BaseRepresentation
bin1010001010110011…
…10101100110100100
3112002110202122111000
411011121311212210
542140044241411
62301421113300
7252200602551
oct50531654644
915073678430
105459368356
112351742282
1210843b8830
136900887a0
1439b0bba28
1521e445956
hex1456759a4

5459368356 has 96 divisors (see below), whose sum is σ = 15400206080. Its totient is φ = 1662446592.

The previous prime is 5459368351. The next prime is 5459368357. The reversal of 5459368356 is 6538639545.

It is a happy number.

5459368356 is a `hidden beast` number, since 545 + 9 + 3 + 68 + 35 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5459368351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116145 + ... + 156231.

Almost surely, 25459368356 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 5459368356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700103040).

5459368356 is an abundant number, since it is smaller than the sum of its proper divisors (9940837724).

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

5459368356 is a wasteful number, since it uses less digits than its factorization.

5459368356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40210 (or 40202 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The square root of 5459368356 is about 73887.5385704518. The cubic root of 5459368356 is about 1760.8166359175.

The spelling of 5459368356 in words is "five billion, four hundred fifty-nine million, three hundred sixty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 97 108 117 156 194 234 291 351 388 468 582 702 873 1164 1261 1404 1746 2522 2619 3492 3783 5044 5238 7566 10476 11349 15132 22698 34047 40087 45396 68094 80174 120261 136188 160348 240522 360783 481044 521131 721566 1042262 1082349 1443132 1563393 2084524 2164698 3126786 3888439 4329396 4690179 6253572 7776878 9380358 11665317 14070537 15553756 18760716 23330634 28141074 34995951 46661268 50549707 56282148 69991902 101099414 104987853 139983804 151649121 202198828 209975706 303298242 419951412 454947363 606596484 909894726 1364842089 1819789452 2729684178 5459368356