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97600016016 = 2433225925963
BaseRepresentation
bin101101011100101101…
…0100000111010010000
3100022220220122112011000
41122321122200322100
53044341101003031
6112500431022000
710023422306436
oct1327132407220
9308826575130
1097600016016
1138434734668
1216aba06a900
13928552b189
144a1c406d56
1528136b83e6
hex16b96a0e90

97600016016 has 40 divisors (see below), whose sum is σ = 280148195360. Its totient is φ = 32533338528.

The previous prime is 97600015991. The next prime is 97600016083. The reversal of 97600016016 is 61061000679.

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

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 7 ways as a sum of consecutive naturals, for example, 112962550 + ... + 112963413.

It is an arithmetic number, because the mean of its divisors is an integer number (7003704884).

Almost surely, 297600016016 is an apocalyptic number.

It is an amenable number.

97600016016 is an abundant number, since it is smaller than the sum of its proper divisors (182548179344).

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

97600016016 is a wasteful number, since it uses less digits than its factorization.

97600016016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225925980 (or 225925968 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

It can be divided in two parts, 976000 and 16016, that added together give a square (992016 = 9962).

The spelling of 97600016016 in words is "ninety-seven billion, six hundred million, sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 225925963 451851926 677777889 903703852 1355555778 1807407704 2033333667 2711111556 3614815408 4066667334 5422223112 6100001001 8133334668 10844446224 12200002002 16266669336 24400004004 32533338672 48800008008 97600016016