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10284642246483 = 3211375010156041
BaseRepresentation
bin1001010110101001010001…
…1100101001111101010011
31100102012110101211120022200
42111222110130221331103
52322000421403341413
633512411024134243
72111020010461233
oct225522434517523
940365411746280
1010284642246483
113305768478840
1211a1295a67383
13597ab729b9c7
14277aca721cc3
1512c7d91c1573
hex95a94729f53

10284642246483 has 48 divisors (see below), whose sum is σ = 16644734931552. Its totient is φ = 6064424640000.

The previous prime is 10284642246451. The next prime is 10284642246583. The reversal of 10284642246483 is 38464224648201.

10284642246483 is a `hidden beast` number, since 1 + 0 + 2 + 84 + 6 + 4 + 22 + 464 + 83 = 666.

It is not a de Polignac number, because 10284642246483 - 25 = 10284642246451 is a prime.

It is a super-2 number, since 2×102846422464832 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10284642246583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183491943 + ... + 183547983.

It is an arithmetic number, because the mean of its divisors is an integer number (346765311074).

Almost surely, 210284642246483 is an apocalyptic number.

10284642246483 is a deficient number, since it is larger than the sum of its proper divisors (6360092685069).

10284642246483 is a wasteful number, since it uses less digits than its factorization.

10284642246483 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106196 (or 106193 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 10284642246483 in words is "ten trillion, two hundred eighty-four billion, six hundred forty-two million, two hundred forty-six thousand, four hundred eighty-three".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 50101 56041 150303 168123 450909 504369 551111 616451 1653333 1849353 1853737 2073517 4959999 5548059 5561211 6220551 16683633 18661653 20391107 22808687 61173321 68426061 183519963 205278183 2807710141 8423130423 25269391269 30884811551 92654434653 103885275217 277963303959 311655825651 934967476953 1142738027387 3428214082161 10284642246483