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20015256442506 = 2313283669135543
BaseRepresentation
bin1001000110100001010100…
…10000000001011010001010
32121212102212122011002022220
410203100222100001122022
510110412221122130011
6110322514252354510
74134024466445043
oct443205220013212
977772778132286
1020015256442506
116417471513106
1222b3110a75a36
13b22579cb9a00
144d2a5a5578ca
1524a999453506
hex12342a40168a

20015256442506 has 96 divisors (see below), whose sum is σ = 43876689679872. Its totient is φ = 6083260672320.

The previous prime is 20015256442501. The next prime is 20015256442513. The reversal of 20015256442506 is 60524465251002.

It is a happy number.

It is a super-2 number, since 2×200152564425062 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20015256442501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563110171 + ... + 563145713.

It is an arithmetic number, because the mean of its divisors is an integer number (457048850832).

Almost surely, 220015256442506 is an apocalyptic number.

20015256442506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20015256442506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21938344839936).

20015256442506 is an abundant number, since it is smaller than the sum of its proper divisors (23861433237366).

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

20015256442506 is a wasteful number, since it uses less digits than its factorization.

20015256442506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42348 (or 42335 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 20015256442506 in words is "twenty trillion, fifteen billion, two hundred fifty-six million, four hundred forty-two thousand, five hundred six".

Divisors: 1 2 3 6 13 26 39 78 83 166 169 249 338 498 507 1014 1079 2158 3237 6474 6691 13382 14027 20073 28054 35543 40146 42081 71086 84162 86983 106629 173966 213258 260949 462059 521898 555353 924118 1110706 1130779 1386177 1666059 2261558 2772354 2950069 3332118 3392337 5900138 6006767 6784674 7219589 8850207 12013534 14439178 17700414 18020301 21658767 36040602 38350897 43317534 76701794 93854657 115052691 187709314 230105382 237818213 281563971 475636426 498561661 563127942 713454639 997123322 1426909278 1495684983 2991369966 3091636769 6183273538 9274910307 18549820614 19738911679 39477823358 40191277997 59216735037 80382555994 118433470074 120573833991 241147667982 256605851827 513211703654 769817555481 1539635110962 3335876073751 6671752147502 10007628221253 20015256442506