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15116516064 = 2532134037531
BaseRepresentation
bin11100001010000001…
…11011101011100000
31110000111101120200100
432011000323223200
5221424312003224
610535555222400
71043413160256
oct160500735340
943014346610
1015116516064
116457974291
122b1a5a7a00
13156ba23280
14a358b45d6
155d717cac9
hex38503bae0

15116516064 has 72 divisors (see below), whose sum is σ = 46294341912. Its totient is φ = 4651234560.

The previous prime is 15116516029. The next prime is 15116516119. The reversal of 15116516064 is 46061561151.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2015022 + ... + 2022509.

It is an arithmetic number, because the mean of its divisors is an integer number (642976971).

Almost surely, 215116516064 is an apocalyptic number.

It is an amenable number.

15116516064 is an abundant number, since it is smaller than the sum of its proper divisors (31177825848).

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

15116516064 is a wasteful number, since it uses less digits than its factorization.

15116516064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037560 (or 4037549 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 15116516064 in words is "fifteen billion, one hundred sixteen million, five hundred sixteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 4037531 8075062 12112593 16150124 24225186 32300248 36337779 48450372 52487903 64600496 72675558 96900744 104975806 129200992 145351116 157463709 193801488 209951612 290702232 314927418 387602976 419903224 472391127 581404464 629854836 839806448 944782254 1162808928 1259709672 1679612896 1889564508 2519419344 3779129016 5038838688 7558258032 15116516064