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7245206640864 = 25321091132042459
BaseRepresentation
bin110100101101110011111…
…1101111101100011100000
3221122122010220111221220200
41221123213331331203200
51422201140400001424
623224222454505200
71345306655216043
oct151334775754340
927578126457820
107245206640864
1123437472a2965
12990205065200
134072b25c982a
141b09541b6c5a
15c86e77cd8c9
hex696e7f7d8e0

7245206640864 has 144 divisors (see below), whose sum is σ = 20976595239600. Its totient is φ = 2371734908928.

The previous prime is 7245206640811. The next prime is 7245206640911. The reversal of 7245206640864 is 4680466025427.

It is a happy number.

7245206640864 is a `hidden beast` number, since 7 + 24 + 5 + 206 + 6 + 408 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7245206640864.

It is a congruent number.

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, 2526067 + ... + 4568525.

It is an arithmetic number, because the mean of its divisors is an integer number (145670800275).

Almost surely, 27245206640864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7245206640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488297619800).

7245206640864 is an abundant number, since it is smaller than the sum of its proper divisors (13731388598736).

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

7245206640864 is a wasteful number, since it uses less digits than its factorization.

7245206640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042697 (or 2042686 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 7245206640864 in words is "seven trillion, two hundred forty-five billion, two hundred six million, six hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 113 144 218 226 288 327 339 436 452 654 678 872 904 981 1017 1308 1356 1744 1808 1962 2034 2616 2712 3488 3616 3924 4068 5232 5424 7848 8136 10464 10848 12317 15696 16272 24634 31392 32544 36951 49268 73902 98536 110853 147804 197072 221706 295608 394144 443412 591216 886824 1182432 1773648 2042459 3547296 4084918 6127377 8169836 12254754 16339672 18382131 24509508 32679344 36764262 49019016 65358688 73528524 98038032 147057048 196076064 222628031 230797867 294114096 445256062 461595734 588228192 667884093 692393601 890512124 923191468 1335768186 1384787202 1781024248 1846382936 2003652279 2077180803 2671536372 2769574404 3562048496 3692765872 4007304558 4154361606 5343072744 5539148808 7124096992 7385531744 8014609116 8308723212 10686145488 11078297616 16029218232 16617446424 21372290976 22156595232 25156967503 32058436464 33234892848 50313935006 64116872928 66469785696 75470902509 100627870012 150941805018 201255740024 226412707527 301883610036 402511480048 452825415054 603767220072 805022960096 905650830108 1207534440144 1811301660216 2415068880288 3622603320432 7245206640864