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742148148817 = 10919073356981
BaseRepresentation
bin10101100110010110111…
…10100000111001010001
32121221121120200012102201
422303023132200321101
544124404411230232
61324534350243201
7104422060115605
oct12631336407121
92557546605381
10742148148817
1126681a311739
12bb9bbab6501
1354ca4597c7a
1427cc4cd3505
1514489467be7
hexaccb7a0e51

742148148817 has 8 divisors (see below), whose sum is σ = 748998213480. Its totient is φ = 735298836480.

The previous prime is 742148148809. The next prime is 742148148821. The reversal of 742148148817 is 718841841247.

742148148817 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 4 ways, for example, as 5848578576 + 736299570241 = 76476^2 + 858079^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 742148148817 - 23 = 742148148809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742148148517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1900467 + ... + 2257447.

It is an arithmetic number, because the mean of its divisors is an integer number (93624776685).

Almost surely, 2742148148817 is an apocalyptic number.

It is an amenable number.

742148148817 is a deficient number, since it is larger than the sum of its proper divisors (6850064663).

742148148817 is a wasteful number, since it uses less digits than its factorization.

742148148817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376163.

The product of its digits is 3211264, while the sum is 55.

The spelling of 742148148817 in words is "seven hundred forty-two billion, one hundred forty-eight million, one hundred forty-eight thousand, eight hundred seventeen".

Divisors: 1 109 19073 356981 2078957 38910929 6808698613 742148148817