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9706420864 = 27719570161
BaseRepresentation
bin10010000101000110…
…00011101010000000
3221001110100021021001
421002203003222000
5124334320431424
64243054141344
7462351134050
oct110243035200
927043307231
109706420864
114131026728
121a6a7b1854
13bb8c2a0ca
14681181560
153bc21b844
hex2428c3a80

9706420864 has 64 divisors (see below), whose sum is σ = 23262609600. Its totient is φ = 3940945920.

The previous prime is 9706420859. The next prime is 9706420891. The reversal of 9706420864 is 4680246079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268057 + ... + 302104.

It is an arithmetic number, because the mean of its divisors is an integer number (363478275).

Almost surely, 29706420864 is an apocalyptic number.

It is an amenable number.

9706420864 is an abundant number, since it is smaller than the sum of its proper divisors (13556188736).

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

9706420864 is a wasteful number, since it uses less digits than its factorization.

9706420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570201 (or 570189 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The square root of 9706420864 is about 98521.1696235890. The cubic root of 9706420864 is about 2133.1417018840.

The spelling of 9706420864 in words is "nine billion, seven hundred six million, four hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 570161 1140322 2280644 3991127 4561288 7982254 9122576 10833059 15964508 18245152 21666118 31929016 36490304 43332236 63858032 72980608 75831413 86664472 127716064 151662826 173328944 255432128 303325652 346657888 510864256 606651304 693315776 1213302608 1386631552 2426605216 4853210432 9706420864