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552740735340 = 2232589121728351
BaseRepresentation
bin10000000101100011110…
…10100100100101101100
31221211201110012122221200
420002301322210211230
533024003112012330
61101531532125500
754635300505213
oct10026172444554
91854643178850
10552740735340
111a346380a582
128b15b906890
134017a967691
141ca7794c07a
15e5a0e07a60
hex80b1ea496c

552740735340 has 144 divisors (see below), whose sum is σ = 1696938647040. Its totient is φ = 145616486400.

The previous prime is 552740735333. The next prime is 552740735357. The reversal of 552740735340 is 43537047255.

552740735340 is a `hidden beast` number, since 5 + 5 + 2 + 7 + 40 + 73 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19482165 + ... + 19510515.

It is an arithmetic number, because the mean of its divisors is an integer number (11784296160).

Almost surely, 2552740735340 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 552740735340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848469323520).

552740735340 is an abundant number, since it is smaller than the sum of its proper divisors (1144197911700).

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

552740735340 is a wasteful number, since it uses less digits than its factorization.

552740735340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29672 (or 29667 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 552740735340 in words is "five hundred fifty-two billion, seven hundred forty million, seven hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1217 1335 1602 1780 2434 2670 3204 3651 4005 4868 5340 6085 7302 8010 10953 12170 14604 16020 18255 21906 24340 28351 36510 43812 54765 56702 73020 85053 108313 109530 113404 141755 170106 216626 219060 255159 283510 324939 340212 425265 433252 510318 541565 567020 649878 850530 974817 1020636 1083130 1275795 1299756 1624695 1701060 1949634 2166260 2523239 2551590 3249390 3899268 4874085 5046478 5103180 6498780 7569717 9748170 10092956 12616195 15139434 19496340 22709151 25232390 30278868 34503167 37848585 45418302 50464780 69006334 75697170 90836604 103509501 113545755 138012668 151394340 172515835 207019002 227091510 310528503 345031670 414038004 454183020 517547505 621057006 690063340 1035095010 1242114012 1552642515 2070190020 3070781863 3105285030 6141563726 6210570060 9212345589 12283127452 15353909315 18424691178 27637036767 30707818630 36849382356 46061727945 55274073534 61415637260 92123455890 110548147068 138185183835 184246911780 276370367670 552740735340