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2108972736 = 263213281647
BaseRepresentation
bin111110110110100…
…0101111011000000
312102222101220201100
41331231011323000
513304344111421
6545134334400
7103155654363
oct17555057300
95388356640
102108972736
11992507482
124aa35a400
13277c0cc80
141601440da
15c523ac26
hex7db45ec0

2108972736 has 84 divisors (see below), whose sum is σ = 6510011872. Its totient is φ = 648912384.

The previous prime is 2108972699. The next prime is 2108972753. The reversal of 2108972736 is 6372798012.

It is a junction number, because it is equal to n+sod(n) for n = 2108972691 and 2108972700.

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 11 ways as a sum of consecutive naturals, for example, 133336 + ... + 148311.

Almost surely, 22108972736 is an apocalyptic number.

2108972736 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2108972736 is an abundant number, since it is smaller than the sum of its proper divisors (4401039136).

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

2108972736 is a wasteful number, since it uses less digits than its factorization.

2108972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281678 (or 281665 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2108972736 is about 45923.5531726368. The cubic root of 2108972736 is about 1282.4004304674.

The spelling of 2108972736 in words is "two billion, one hundred eight million, nine hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 281647 563294 844941 1126588 1689882 2253176 2534823 3379764 3661411 4506352 5069646 6759528 7322822 9012704 10139292 10984233 13519056 14645644 18025408 20278584 21968466 27038112 29291288 32952699 40557168 43936932 54076224 58582576 65905398 81114336 87873864 117165152 131810796 162228672 175747728 234330304 263621592 351495456 527243184 702990912 1054486368 2108972736