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20110044080 = 2457417911087
BaseRepresentation
bin10010101110101001…
…101110101110110000
31220220111121002100102
4102232221232232300
5312141132402310
613123300011532
71311226361060
oct225651565660
956814532312
1020110044080
11858a660845
123a92990ba8
131b86427089
14d8ab6d3a0
157ca7568a5
hex4aea6ebb0

20110044080 has 160 divisors (see below), whose sum is σ = 55436451840. Its totient is φ = 6640957440.

The previous prime is 20110044079. The next prime is 20110044139. The reversal of 20110044080 is 8044001102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1808297 + ... + 1819383.

It is an arithmetic number, because the mean of its divisors is an integer number (346477824).

Almost surely, 220110044080 is an apocalyptic number.

20110044080 is a gapful number since it is divisible by the number (20) 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 20110044080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27718225920).

20110044080 is an abundant number, since it is smaller than the sum of its proper divisors (35326407760).

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

20110044080 is a wasteful number, since it uses less digits than its factorization.

20110044080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227 (or 11221 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 20110044080 its reverse (8044001102), we get a palindrome (28154045182).

The spelling of 20110044080 in words is "twenty billion, one hundred ten million, forty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 79 80 82 112 140 158 164 205 280 287 316 328 395 410 553 560 574 632 656 790 820 1106 1148 1264 1435 1580 1640 2212 2296 2765 2870 3160 3239 3280 4424 4592 5530 5740 6320 6478 8848 11060 11087 11480 12956 16195 22120 22174 22673 22960 25912 32390 44240 44348 45346 51824 55435 64780 77609 88696 90692 110870 113365 129560 155218 177392 181384 221740 226730 259120 310436 362768 388045 443480 453460 454567 620872 776090 875873 886960 906920 909134 1241744 1552180 1751746 1813840 1818268 2272835 3104360 3181969 3503492 3636536 4379365 4545670 6131111 6208720 6363938 7006984 7273072 8758730 9091340 12262222 12727876 14013968 15909845 17517460 18182680 24524444 25455752 30655555 31819690 35034920 35910793 36365360 49048888 50911504 61311110 63639380 70069840 71821586 98097776 122622220 127278760 143643172 179553965 245244440 251375551 254557520 287286344 359107930 490488880 502751102 574572688 718215860 1005502204 1256877755 1436431720 2011004408 2513755510 2872863440 4022008816 5027511020 10055022040 20110044080