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10390656601485 = 3251713739892613
BaseRepresentation
bin1001011100110100001101…
…1001010100110110001101
31100210100002201112210121100
42113031003121110312031
52330220031042221420
634033222435453313
72121462104563356
oct227150331246615
940710081483540
1010390656601485
11334671a849866
1211b9941a57239
135a4ab0b32094
1427cca644ad2d
1513044142c190
hex97343654d8d

10390656601485 has 48 divisors (see below), whose sum is σ = 19083802096944. Its totient is φ = 5211902846976.

The previous prime is 10390656601477. The next prime is 10390656601511. The reversal of 10390656601485 is 58410665609301.

10390656601485 is a `hidden beast` number, since 1 + 0 + 39 + 0 + 6 + 566 + 0 + 1 + 48 + 5 = 666.

10390656601485 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4959431012484 + 5431225589001 = 2226978^2 + 2330499^2 .

It is not a de Polignac number, because 10390656601485 - 23 = 10390656601477 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3895962 + ... + 5996651.

It is an arithmetic number, because the mean of its divisors is an integer number (397579210353).

Almost surely, 210390656601485 is an apocalyptic number.

10390656601485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10390656601485 is a deficient number, since it is larger than the sum of its proper divisors (8693145495459).

10390656601485 is a wasteful number, since it uses less digits than its factorization.

10390656601485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9894014 (or 9894011 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 10390656601485 in words is "ten trillion, three hundred ninety billion, six hundred fifty-six million, six hundred one thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 1373 4119 6865 12357 20595 23341 61785 70023 116705 210069 350115 1050345 9892613 29677839 49463065 89033517 148389195 168174421 445167585 504523263 840872105 1513569789 2522616315 7567848945 13582557649 40747672947 67912788245 122243018841 203738364735 230903480033 611215094205 692710440099 1154517400165 2078131320297 3463552200495 10390656601485