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85461615396 = 22323797625213
BaseRepresentation
bin100111110010111101…
…0001100001100100100
322011120222002212211200
41033211322030030210
52400011133143041
6103132135002500
76113550513363
oct1174572141444
9264528085750
1085461615396
1133275943613
1214690b09430
13809c7c92c1
1441ca27d7da
152352c0a1b6
hex13e5e8c324

85461615396 has 36 divisors (see below), whose sum is σ = 216085212252. Its totient is φ = 28479657024.

The previous prime is 85461615367. The next prime is 85461615397. The reversal of 85461615396 is 69351616458.

85461615396 is a `hidden beast` number, since 8 + 5 + 4 + 616 + 15 + 3 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34987702500 + 50473912896 = 187050^2 + 224664^2 .

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

It is not an unprimeable number, because it can be changed into a prime (85461615397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175915 + ... + 449298.

It is an arithmetic number, because the mean of its divisors is an integer number (6002367007).

Almost surely, 285461615396 is an apocalyptic number.

It is an amenable number.

85461615396 is an abundant number, since it is smaller than the sum of its proper divisors (130623596856).

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

85461615396 is a wasteful number, since it uses less digits than its factorization.

85461615396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629020 (or 629015 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 85461615396 in words is "eighty-five billion, four hundred sixty-one million, six hundred fifteen thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 3797 7594 11391 15188 22782 34173 45564 68346 136692 625213 1250426 1875639 2500852 3751278 5626917 7502556 11253834 22507668 2373933761 4747867522 7121801283 9495735044 14243602566 21365403849 28487205132 42730807698 85461615396