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36428355840 = 283559160789
BaseRepresentation
bin100001111011010011…
…001001100100000000
310111000202101012210110
4201323103021210000
51044101124341330
624422430031320
72426504626032
oct417323114400
9114022335713
1036428355840
11144a3947a08
127087948540
13358711cc56
141a980bdc52
15e33176db0
hex87b4c9900

36428355840 has 144 divisors (see below), whose sum is σ = 118315713600. Its totient is φ = 9549520896.

The previous prime is 36428355827. The next prime is 36428355869. The reversal of 36428355840 is 4855382463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36428355840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146166 + ... + 306954.

It is an arithmetic number, because the mean of its divisors is an integer number (821636900).

Almost surely, 236428355840 is an apocalyptic number.

36428355840 is a gapful number since it is divisible by the number (30) 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 36428355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59157856800).

36428355840 is an abundant number, since it is smaller than the sum of its proper divisors (81887357760).

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

36428355840 is a wasteful number, since it uses less digits than its factorization.

36428355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160872 (or 160858 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 36428355840 in words is "thirty-six billion, four hundred twenty-eight million, three hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 64 80 96 118 120 128 160 177 192 236 240 256 295 320 354 384 472 480 590 640 708 768 885 944 960 1180 1280 1416 1770 1888 1920 2360 2832 3540 3776 3840 4720 5664 7080 7552 9440 11328 14160 15104 18880 22656 28320 37760 45312 56640 75520 113280 160789 226560 321578 482367 643156 803945 964734 1286312 1607890 1929468 2411835 2572624 3215780 3858936 4823670 5145248 6431560 7717872 9486551 9647340 10290496 12863120 15435744 18973102 19294680 20580992 25726240 28459653 30871488 37946204 38589360 41161984 47432755 51452480 56919306 61742976 75892408 77178720 94865510 102904960 113838612 123485952 142298265 151784816 154357440 189731020 205809920 227677224 284596530 303569632 308714880 379462040 455354448 569193060 607139264 617429760 758924080 910708896 1138386120 1214278528 1517848160 1821417792 2276772240 2428557056 3035696320 3642835584 4553544480 6071392640 7285671168 9107088960 12142785280 18214177920 36428355840