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742065387217 = 71192925574057
BaseRepresentation
bin10101100110001101000…
…10110011011011010001
32121221101210221110212021
422303012202303123101
544124222214342332
61324522232331441
7104420033501260
oct12630642633321
92557353843767
10742065387217
11266787624720
12bb998243b81
1354c903ab8cb
1427cb7d0c5d7
151448206ac97
hexacc68b36d1

742065387217 has 32 divisors (see below), whose sum is σ = 926758897920. Its totient is φ = 577242132480.

The previous prime is 742065387187. The next prime is 742065387257. The reversal of 742065387217 is 712783560247.

742065387217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-742065387217 is a prime.

It is a super-2 number, since 2×7420653872172 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742065387257) 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, 182907853 + ... + 182911909.

It is an arithmetic number, because the mean of its divisors is an integer number (28961215560).

Almost surely, 2742065387217 is an apocalyptic number.

742065387217 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

742065387217 is a deficient number, since it is larger than the sum of its proper divisors (184693510703).

742065387217 is a wasteful number, since it uses less digits than its factorization.

742065387217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7561.

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 742065387217 in words is "seven hundred forty-two billion, sixty-five million, three hundred eighty-seven thousand, two hundred seventeen".

Divisors: 1 7 11 77 929 2557 4057 6503 10219 17899 28127 28399 44627 71533 196889 312389 2375453 3768953 10373749 16628171 26129983 26382671 41458483 72616243 114111239 182909881 290209381 798778673 9637212821 67460489747 106009341031 742065387217