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20085618675696 = 24371493499114661
BaseRepresentation
bin1001001000100100011000…
…01010101000111111110000
32122010011111022002212201120
410210102030022220333300
510113040321340110241
6110415112243302240
74142065232532120
oct444221412507760
978104438085646
1020085618675696
116444299125352
12230488907a980
13b290b14b1712
144d6213302c80
1524c716767666
hex12448c2a8ff0

20085618675696 has 160 divisors (see below), whose sum is σ = 59715969600000. Its totient is φ = 5698554301440.

The previous prime is 20085618675677. The next prime is 20085618675713. The reversal of 20085618675696 is 69657681658002.

It is a self number, because there is not a number n which added to its sum of digits gives 20085618675696.

It is a congruent number.

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, 175116606 + ... + 175231266.

It is an arithmetic number, because the mean of its divisors is an integer number (373224810000).

Almost surely, 220085618675696 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 20085618675696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857984800000).

20085618675696 is an abundant number, since it is smaller than the sum of its proper divisors (39630350924304).

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

20085618675696 is a wasteful number, since it uses less digits than its factorization.

20085618675696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118327 (or 118321 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 69.

The spelling of 20085618675696 in words is "twenty trillion, eighty-five billion, six hundred eighteen million, six hundred seventy-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 149 168 298 336 447 596 894 1043 1192 1788 2086 2384 3129 3499 3576 4172 6258 6998 7152 8344 10497 12516 13996 16688 20994 24493 25032 27992 41988 48986 50064 55984 73479 83976 97972 114661 146958 167952 195944 229322 293916 343983 391888 458644 521351 587832 687966 802627 917288 1042702 1175664 1375932 1564053 1605254 1834576 2085404 2407881 2751864 3128106 3210508 3649457 4170808 4815762 5503728 6256212 6421016 7298914 8341616 9631524 10948371 12512424 12842032 14597828 17084489 19263048 21896742 25024848 29195656 34168978 38526096 43793484 51253467 58391312 68337956 87586968 102506934 119591423 136675912 175173936 205013868 239182846 273351824 358774269 401198839 410027736 478365692 717548538 802397678 820055472 956731384 1203596517 1435097076 1604795356 1913462768 2407193034 2808391873 2870194152 3209590712 4814386068 5616783746 5740388304 6419181424 8425175619 9628772136 11233567492 16850351238 19257544272 22467134984 33700702476 44934269968 59778627011 67401404952 119557254022 134802809904 179335881033 239114508044 358671762066 418450389077 478229016088 717343524132 836900778154 956458032176 1255351167231 1434687048264 1673801556308 2510702334462 2869374096528 3347603112616 5021404668924 6695206225232 10042809337848 20085618675696