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10206412663524 = 22371123893462307
BaseRepresentation
bin1001010010000101110110…
…0110011110101011100100
31100010201112110001222221020
42110201131212132223210
52314210213120213044
633412432232451140
72102250264133320
oct224413546365344
940121473058836
1010206412663524
113285573960240
12118a0a2b49ab0
135905cab99a4c
14273dc8b5c980
1512a75b365a19
hex9485d99eae4

10206412663524 has 96 divisors (see below), whose sum is σ = 29692689202176. Its totient is φ = 2650899588480.

The previous prime is 10206412663451. The next prime is 10206412663529. The reversal of 10206412663524 is 42536621460201.

It is a happy number.

10206412663524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10206412663529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21845979 + ... + 22308285.

It is an arithmetic number, because the mean of its divisors is an integer number (309298845856).

Almost surely, 210206412663524 is an apocalyptic number.

10206412663524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10206412663524 is an abundant number, since it is smaller than the sum of its proper divisors (19486276538652).

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

10206412663524 is a wasteful number, since it uses less digits than its factorization.

10206412663524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486225 (or 486223 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 10206412663524 in words is "ten trillion, two hundred six billion, four hundred twelve million, six hundred sixty-three thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 23893 47786 71679 95572 143358 167251 262823 286716 334502 462307 501753 525646 669004 788469 924614 1003506 1051292 1386921 1576938 1839761 1849228 2007012 2773842 3153876 3236149 3679522 5085377 5519283 5547684 6472298 7359044 9708447 10170754 11038566 12944596 15256131 19416894 20341508 22077132 30512262 35597639 38833788 61024524 71195278 106792917 142390556 213585834 427171668 11045901151 22091802302 33137703453 44183604604 66275406906 77321308057 121504912661 132550813812 154642616114 231963924171 243009825322 309285232228 364514737983 463927848342 486019650644 729029475966 850534388627 927855696684 1458058951932 1701068777254 2551603165881 3402137554508 5103206331762 10206412663524