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85441072608 = 2532296670391
BaseRepresentation
bin100111110010010101…
…1110100110111100000
322011112112110012102200
41033210223310313200
52344440403310413
6103130122413200
76113211064023
oct1174453646740
9264475405380
1085441072608
1133265292501
1214686061200
138098485ac8
1441c76531ba
152350eed573
hex13e4af4de0

85441072608 has 36 divisors (see below), whose sum is σ = 242973051048. Its totient is φ = 28480357440.

The previous prime is 85441072601. The next prime is 85441072609. The reversal of 85441072608 is 80627014458.

85441072608 is a `hidden beast` number, since 85 + 441 + 0 + 72 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85441072601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148334908 + ... + 148335483.

It is an arithmetic number, because the mean of its divisors is an integer number (6749251418).

Almost surely, 285441072608 is an apocalyptic number.

It is an amenable number.

85441072608 is an abundant number, since it is smaller than the sum of its proper divisors (157531978440).

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

85441072608 is a wasteful number, since it uses less digits than its factorization.

85441072608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296670407 (or 296670396 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 85441072608 in words is "eighty-five billion, four hundred forty-one million, seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 296670391 593340782 890011173 1186681564 1780022346 2373363128 2670033519 3560044692 4746726256 5340067038 7120089384 9493452512 10680134076 14240178768 21360268152 28480357536 42720536304 85441072608