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85788163044 = 2237171997313
BaseRepresentation
bin100111111100101011…
…1110111101111100100
322012102201120020000000
41033321113313233210
52401143232204134
6103224402021300
76124624232343
oct1177127675744
9265381506000
1085788163044
11334231aa701
1214762347830
13812236086c
14421b7a3b5a
15237170ee99
hex13f95f7be4

85788163044 has 384 divisors, whose sum is σ = 254349043200. Its totient is φ = 25153929216.

The previous prime is 85788163033. The next prime is 85788163049. The reversal of 85788163044 is 44036188758.

85788163044 is a `hidden beast` number, since 8 + 578 + 8 + 1 + 63 + 0 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85788163049) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 274083432 + ... + 274083744.

It is an arithmetic number, because the mean of its divisors is an integer number (662367300).

Almost surely, 285788163044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85788163044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127174521600).

85788163044 is an abundant number, since it is smaller than the sum of its proper divisors (168560880156).

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

85788163044 is a wasteful number, since it uses less digits than its factorization.

85788163044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

It can be divided in two parts, 85788 and 163044, that added together give a 5-th power (248832 = 125).

The spelling of 85788163044 in words is "eighty-five billion, seven hundred eighty-eight million, one hundred sixty-three thousand, forty-four".