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10012055663205 = 3356731317871979
BaseRepresentation
bin1001000110110001110100…
…0001010111001001100101
31022110010212101002101202000
42101230131001113021211
52303014142222210310
633143250323435513
72052230033653401
oct221543501271145
938403771071660
1010012055663205
1132100a8454242
1211584a1225b99
135781959ac04b
1426882c2ba101
1512568350b4c0
hex91b1d057265

10012055663205 has 128 divisors (see below), whose sum is σ = 18141889075200. Its totient is φ = 5237677665792.

The previous prime is 10012055663189. The next prime is 10012055663219. The reversal of 10012055663205 is 50236655021001.

10012055663205 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 20 + 556 + 63 + 20 + 5 = 666.

It is not a de Polignac number, because 10012055663205 - 24 = 10012055663189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10012055663205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5059147906 + ... + 5059149884.

It is an arithmetic number, because the mean of its divisors is an integer number (141733508400).

Almost surely, 210012055663205 is an apocalyptic number.

10012055663205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10012055663205 is a deficient number, since it is larger than the sum of its proper divisors (8129833411995).

10012055663205 is a wasteful number, since it uses less digits than its factorization.

10012055663205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10012055663205 in words is "ten trillion, twelve billion, fifty-five million, six hundred sixty-three thousand, two hundred five".

Divisors: 1 3 5 9 15 27 45 67 135 201 313 335 603 939 1005 1565 1787 1809 1979 2817 3015 4695 5361 5937 8451 8935 9045 9895 14085 16083 17811 20971 26805 29685 42255 48249 53433 62913 80415 89055 104855 119729 132593 188739 241245 267165 314565 359187 397779 559331 566217 598645 619427 662965 943695 1077561 1193337 1677993 1795935 1858281 1988895 2796655 2831085 3097135 3232683 3536473 3580011 5033979 5387805 5574843 5966685 8389965 9291405 10609419 15101937 16163415 16724529 17682365 17900055 25169895 27874215 31828257 37475177 41501609 53047095 75509685 83622645 95484771 112425531 124504827 159141285 187375885 207508045 236943691 337276593 373514481 477423855 562127655 622524135 710831073 1011829779 1106916049 1120543443 1184718455 1686382965 1867572405 2132493219 3320748147 3554155365 5059148895 5534580245 5602717215 6397479657 9962244441 10662466095 16603740735 29886733323 31987398285 49811222205 74163375283 149433666615 222490125849 370816876415 667470377547 1112450629245 2002411132641 3337351887735 10012055663205