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96969200769216 = 26321297304142683
BaseRepresentation
bin10110000011000101100110…
…110001000001100011000000
3110201100011110022212012221100
4112003011212301001203000
5100202220410344103331
6542123011424454400
726265536122555326
oct2603054661014300
9421304408765840
1096969200769216
1128996452941566
12aa6134517a400
1342152057aa239
1419d34976a5d16
15b325d11ccae6
hex583166c418c0

96969200769216 has 168 divisors, whose sum is σ = 278256992414544. Its totient is φ = 32286768168960.

The previous prime is 96969200769209. The next prime is 96969200769239. The reversal of 96969200769216 is 61296700296969.

96969200769216 is a `hidden beast` number, since 96 + 9 + 69 + 200 + 7 + 69 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 2271824611 + ... + 2271867293.

Almost surely, 296969200769216 is an apocalyptic number.

96969200769216 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96969200769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139128496207272).

96969200769216 is an abundant number, since it is smaller than the sum of its proper divisors (181287791645328).

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

96969200769216 is a wasteful number, since it uses less digits than its factorization.

96969200769216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47039 (or 47026 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 96969200769216 in words is "ninety-six trillion, nine hundred sixty-nine billion, two hundred million, seven hundred sixty-nine thousand, two hundred sixteen".