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742096690247 = 11232924437873
BaseRepresentation
bin10101100110010000110…
…10001101110001000111
32121221110222211211112202
422303020122031301013
544124303223041442
61324525311305115
7104420563534613
oct12631032156107
92557428754482
10742096690247
112667a32650a0
12bb9a681b19b
1354c96a1ba03
1427cbc13a343
1514484ba0c32
hexacc868dc47

742096690247 has 48 divisors (see below), whose sum is σ = 876978655488. Its totient is φ = 621564303360.

The previous prime is 742096690229. The next prime is 742096690249.

742096690247 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 742096690247 - 26 = 742096690183 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 742096690192 and 742096690201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742096690249) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 94254503 + ... + 94262375.

It is an arithmetic number, because the mean of its divisors is an integer number (18270388656).

Almost surely, 2742096690247 is an apocalyptic number.

742096690247 is a deficient number, since it is larger than the sum of its proper divisors (134881965241).

742096690247 is a wasteful number, since it uses less digits than its factorization.

742096690247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 56.

The spelling of 742096690247 in words is "seven hundred forty-two billion, ninety-six million, six hundred ninety thousand, two hundred forty-seven".

Divisors: 1 11 23 29 253 319 443 667 841 4873 7337 7873 9251 10189 12847 19343 86603 112079 141317 181079 212773 228317 295481 372563 1991869 2511487 3250291 3487739 4098193 5251291 6621193 8568949 38365129 57764201 72833123 80217997 94258439 101144431 152287439 882397967 1112588741 1675161829 2326321913 2933188499 25589541043 32265073489 67463335477 742096690247