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742065387216 = 24331883564779
BaseRepresentation
bin10101100110001101000…
…10110011011011010000
32121221101210221110212020
422303012202303123100
544124222214342331
61324522232331440
7104420033501256
oct12630642633320
92557353843766
10742065387216
1126678762471a
12bb998243b80
1354c903ab8ca
1427cb7d0c5d6
151448206ac96
hexacc68b36d0

742065387216 has 80 divisors (see below), whose sum is σ = 1981085583360. Its totient is φ = 239104414080.

The previous prime is 742065387187. The next prime is 742065387257. The reversal of 742065387216 is 612783560247.

It is a happy number.

It is a super-2 number, since 2×7420653872162 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1031515 + ... + 1596293.

It is an arithmetic number, because the mean of its divisors is an integer number (24763569792).

Almost surely, 2742065387216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742065387216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990542791680).

742065387216 is an abundant number, since it is smaller than the sum of its proper divisors (1239020196144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

742065387216 is a wasteful number, since it uses less digits than its factorization.

742065387216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565704 (or 565698 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 742065387216 in words is "seven hundred forty-two billion, sixty-five million, three hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 883 1488 1766 2649 3532 5298 7064 10596 14128 21192 27373 42384 54746 82119 109492 164238 218984 328476 437968 564779 656952 1129558 1313904 1694337 2259116 3388674 4518232 6777348 9036464 13554696 17508149 27109392 35016298 52524447 70032596 105048894 140065192 210097788 280130384 420195576 498699857 840391152 997399714 1496099571 1994799428 2992199142 3989598856 5984398284 7979197712 11968796568 15459695567 23937593136 30919391134 46379086701 61838782268 92758173402 123677564536 185516346804 247355129072 371032693608 742065387216