Search a number
-
+
5163520608 = 25352328871
BaseRepresentation
bin1001100111100010…
…10001001001100000
3111022212002000200000
410303301101021200
541033330124413
62212212100000
7241646125641
oct46361211140
914285060600
105163520608
11220a744504
121001304600
136439b294c
1436daa96c8
152034a7073
hex133c51260

5163520608 has 144 divisors (see below), whose sum is σ = 15890224896. Its totient is φ = 1646282880.

The previous prime is 5163520589. The next prime is 5163520633. The reversal of 5163520608 is 8060253615.

5163520608 is a `hidden beast` number, since 5 + 16 + 35 + 2 + 0 + 608 = 666.

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 (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 164413 + ... + 193283.

It is an arithmetic number, because the mean of its divisors is an integer number (110348784).

Almost surely, 25163520608 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 5163520608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945112448).

5163520608 is an abundant number, since it is smaller than the sum of its proper divisors (10726704288).

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

5163520608 is a wasteful number, since it uses less digits than its factorization.

5163520608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28919 (or 28899 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5163520608 is about 71857.6412638211. The cubic root of 5163520608 is about 1728.4174338744.

The spelling of 5163520608 in words is "five billion, one hundred sixty-three million, five hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 621 648 736 828 864 972 1104 1242 1296 1656 1863 1944 2208 2484 2592 3312 3726 3888 4968 5589 6624 7452 7776 9936 11178 14904 19872 22356 28871 29808 44712 57742 59616 86613 89424 115484 173226 178848 230968 259839 346452 461936 519678 664033 692904 779517 923872 1039356 1328066 1385808 1559034 1992099 2078712 2338551 2656132 2771616 3118068 3984198 4157424 4677102 5312264 5976297 6236136 7015653 7968396 8314848 9354204 10624528 11952594 12472272 14031306 15936792 17928891 18708408 21249056 23905188 24944544 28062612 31873584 35857782 37416816 47810376 53786673 56125224 63747168 71715564 74833632 95620752 107573346 112250448 143431128 161360019 191241504 215146692 224500896 286862256 322720038 430293384 573724512 645440076 860586768 1290880152 1721173536 2581760304 5163520608