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20065471504 = 2413418926437
BaseRepresentation
bin10010101011111111…
…101100110000010000
31220210101201120021021
4102223333230300100
5312043230042004
613115024405224
71310145456631
oct225377546020
956711646237
1020065471504
118567487801
123a7ba76814
131b7a11c180
14d84c89888
157c689ed54
hex4abfecc10

20065471504 has 80 divisors (see below), whose sum is σ = 43372067760. Its totient is φ = 8933253120.

The previous prime is 20065471499. The next prime is 20065471513. The reversal of 20065471504 is 40517456002.

It can be written as a sum of positive squares in 8 ways, for example, as 3974041600 + 16091429904 = 63040^2 + 126852^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20065471504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745774 + ... + 772210.

It is an arithmetic number, because the mean of its divisors is an integer number (542150847).

Almost surely, 220065471504 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 20065471504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21686033880).

20065471504 is an abundant number, since it is smaller than the sum of its proper divisors (23306596256).

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

20065471504 is a wasteful number, since it uses less digits than its factorization.

20065471504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26588 (or 26582 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 20065471504 in words is "twenty billion, sixty-five million, four hundred seventy-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 41 52 82 89 104 164 178 208 328 356 533 656 712 1066 1157 1424 2132 2314 3649 4264 4628 7298 8528 9256 14596 18512 26437 29192 47437 52874 58384 94874 105748 189748 211496 343681 379496 422992 687362 758992 1083917 1374724 2167834 2352893 2749448 4335668 4705786 5498896 8671336 9411572 14090921 17342672 18823144 28181842 30587609 37646288 56363684 61175218 96468613 112727368 122350436 192937226 225454736 244700872 385874452 489401744 771748904 1254091969 1543497808 2508183938 5016367876 10032735752 20065471504