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16648475040 = 25325103112247
BaseRepresentation
bin11111000000101001…
…11001000110100000
31120222021001011022200
433200110321012200
5233044002200130
611352002333200
71126364463051
oct174024710640
946867034280
1016648475040
1170736a278a
12328765a200
131754225082
14b3d136728
156768db760
hex3e05391a0

16648475040 has 144 divisors (see below), whose sum is σ = 57365013888. Its totient is φ = 4396451328.

The previous prime is 16648475023. The next prime is 16648475059. The reversal of 16648475040 is 4057484661.

16648475040 is a `hidden beast` number, since 1 + 6 + 64 + 84 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92197 + ... + 204443.

It is an arithmetic number, because the mean of its divisors is an integer number (398368152).

Almost surely, 216648475040 is an apocalyptic number.

16648475040 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 16648475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28682506944).

16648475040 is an abundant number, since it is smaller than the sum of its proper divisors (40716538848).

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

16648475040 is a wasteful number, since it uses less digits than its factorization.

16648475040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112371 (or 112360 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 16648475040 in words is "sixteen billion, six hundred forty-eight million, four hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 288 309 360 412 480 515 618 720 824 927 1030 1236 1440 1545 1648 1854 2060 2472 3090 3296 3708 4120 4635 4944 6180 7416 8240 9270 9888 12360 14832 16480 18540 24720 29664 37080 49440 74160 112247 148320 224494 336741 448988 561235 673482 897976 1010223 1122470 1346964 1683705 1795952 2020446 2244940 2693928 3367410 3591904 4040892 4489880 5051115 5387856 6734820 8081784 8979760 10102230 10775712 11561441 13469640 16163568 17959520 20204460 23122882 26939280 32327136 34684323 40408920 46245764 53878560 57807205 69368646 80817840 92491528 104052969 115614410 138737292 161635680 173421615 184983056 208105938 231228820 277474584 346843230 369966112 416211876 462457640 520264845 554949168 693686460 832423752 924915280 1040529690 1109898336 1387372920 1664847504 1849830560 2081059380 2774745840 3329695008 4162118760 5549491680 8324237520 16648475040