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85455700272 = 2433197814121
BaseRepresentation
bin100111110010110001…
…1101000000100110000
322011120112222100211000
41033211203220010300
52400003124402042
6103131404122000
76113446316205
oct1174543500460
9264515870730
1085455700272
1133272573488
121468ab36300
13809b507b27
1441c957dcac
15235243c74c
hex13e58e8130

85455700272 has 40 divisors (see below), whose sum is σ = 245289511280. Its totient is φ = 28485233280.

The previous prime is 85455700243. The next prime is 85455700273. The reversal of 85455700272 is 27200755458.

85455700272 is a `hidden beast` number, since 8 + 5 + 4 + 5 + 570 + 0 + 2 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (85455700273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98906629 + ... + 98907492.

It is an arithmetic number, because the mean of its divisors is an integer number (6132237782).

Almost surely, 285455700272 is an apocalyptic number.

It is an amenable number.

85455700272 is an abundant number, since it is smaller than the sum of its proper divisors (159833811008).

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

85455700272 is a wasteful number, since it uses less digits than its factorization.

85455700272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197814138 (or 197814126 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 85455700272 in words is "eighty-five billion, four hundred fifty-five million, seven hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 197814121 395628242 593442363 791256484 1186884726 1582512968 1780327089 2373769452 3165025936 3560654178 4747538904 5340981267 7121308356 9495077808 10681962534 14242616712 21363925068 28485233424 42727850136 85455700272