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20490108672 = 283115345763
BaseRepresentation
bin10011000101010011…
…100011111100000000
31221212222202100221210
4103011103203330000
5313430431434142
613225114050120
71323523023105
oct230523437400
957788670853
1020490108672
11876514aa10
123b7a119940
131c170a8777
14dc5424aac
157edccd49c
hex4c54e3f00

20490108672 has 144 divisors (see below), whose sum is σ = 60614967168. Its totient is φ = 6091837440.

The previous prime is 20490108629. The next prime is 20490108689. The reversal of 20490108672 is 27680109402.

It is a self number, because there is not a number n which added to its sum of digits gives 20490108672.

It is a congruent number.

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, 424863 + ... + 470625.

It is an arithmetic number, because the mean of its divisors is an integer number (420937272).

Almost surely, 220490108672 is an apocalyptic number.

20490108672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20490108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30307483584).

20490108672 is an abundant number, since it is smaller than the sum of its proper divisors (40124858496).

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

20490108672 is a wasteful number, since it uses less digits than its factorization.

20490108672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45846 (or 45832 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 20490108672 in words is "twenty billion, four hundred ninety million, one hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 128 132 159 176 192 212 256 264 318 352 384 424 528 583 636 704 768 848 1056 1166 1272 1408 1696 1749 2112 2332 2544 2816 3392 3498 4224 4664 5088 6784 6996 8448 9328 10176 13568 13992 18656 20352 27984 37312 40704 45763 55968 74624 91526 111936 137289 149248 183052 223872 274578 366104 447744 503393 549156 732208 1006786 1098312 1464416 1510179 2013572 2196624 2425439 2928832 3020358 4027144 4393248 4850878 5857664 6040716 7276317 8054288 8786496 9701756 11715328 12081432 14552634 16108576 17572992 19403512 24162864 26679829 29105268 32217152 35145984 38807024 48325728 53359658 58210536 64434304 77614048 80039487 96651456 106719316 116421072 128868608 155228096 160078974 193302912 213438632 232842144 310456192 320157948 386605824 426877264 465684288 620912384 640315896 853754528 931368576 1280631792 1707509056 1862737152 2561263584 3415018112 5122527168 6830036224 10245054336 20490108672