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8640125303904 = 2532208714374909
BaseRepresentation
bin111110110111010111110…
…0110010111110001100000
31010120222200012002002111100
41331232233212113301200
52113024434034211104
630213115130514400
71551141234216453
oct175565746276140
933528605062440
108640125303904
112831290539516
12b76620595a00
134a89b6567033
1421c2819cb49a
15eeb397bc139
hex7dbaf997c60

8640125303904 has 72 divisors (see below), whose sum is σ = 24582131093520. Its totient is φ = 2878661576448.

The previous prime is 8640125303881. The next prime is 8640125303933. The reversal of 8640125303904 is 4093035210468.

8640125303904 is a `hidden beast` number, since 8 + 6 + 4 + 0 + 1 + 253 + 0 + 390 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8640125303904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6586399 + ... + 7788510.

It is an arithmetic number, because the mean of its divisors is an integer number (341418487410).

Almost surely, 28640125303904 is an apocalyptic number.

It is an amenable number.

8640125303904 is an abundant number, since it is smaller than the sum of its proper divisors (15942005789616).

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

8640125303904 is a wasteful number, since it uses less digits than its factorization.

8640125303904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14377012 (or 14377001 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 8640125303904 in words is "eight trillion, six hundred forty billion, one hundred twenty-five million, three hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2087 4174 6261 8348 12522 16696 18783 25044 33392 37566 50088 66784 75132 100176 150264 200352 300528 601056 14374909 28749818 43124727 57499636 86249454 114999272 129374181 172498908 229998544 258748362 344997816 459997088 517496724 689995632 1034993448 1379991264 2069986896 4139973792 30000435083 60000870166 90001305249 120001740332 180002610498 240003480664 270003915747 360005220996 480006961328 540007831494 720010441992 960013922656 1080015662988 1440020883984 2160031325976 2880041767968 4320062651952 8640125303904