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10738070340 = 22356111512549
BaseRepresentation
bin10100000000000100…
…11111001101000100
31000201100120111021220
422000002133031010
5133442421222330
64533310040340
7530046043344
oct120002371504
930640514256
1010738070340
1146103a71a8
1220b81a90b0
131021898c9a
1473c1aad24
1542caa0710
hex28009f344

10738070340 has 96 divisors (see below), whose sum is σ = 30598041600. Its totient is φ = 2812992000.

The previous prime is 10738070263. The next prime is 10738070341. The reversal of 10738070340 is 4307083701.

It is not an unprimeable number, because it can be changed into a prime (10738070341) 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, 4211386 + ... + 4213934.

It is an arithmetic number, because the mean of its divisors is an integer number (318729600).

Almost surely, 210738070340 is an apocalyptic number.

10738070340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10738070340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299020800).

10738070340 is an abundant number, since it is smaller than the sum of its proper divisors (19859971260).

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

10738070340 is a wasteful number, since it uses less digits than its factorization.

10738070340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 10738070340 in words is "ten billion, seven hundred thirty-eight million, seventy thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1151 1220 1830 2302 2549 3453 3660 4604 5098 5755 6906 7647 10196 11510 12745 13812 15294 17265 23020 25490 30588 34530 38235 50980 69060 70211 76470 140422 152940 155489 210633 280844 310978 351055 421266 466467 621956 702110 777445 842532 932934 1053165 1404220 1554890 1865868 2106330 2332335 2933899 3109780 4212660 4664670 5867798 8801697 9329340 11735596 14669495 17603394 29338990 35206788 44008485 58677980 88016970 176033940 178967839 357935678 536903517 715871356 894839195 1073807034 1789678390 2147614068 2684517585 3579356780 5369035170 10738070340