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90193000716 = 223572133137127
BaseRepresentation
bin101001111111111101…
…0111111100100001100
322121210201001011100000
41103333322333210030
52434203402010331
6105233433004300
76342031566600
oct1237772774414
9277721034300
1090193000716
1135283663415
1215591553690
138674ac87a0
1445187bb500
15252d2a20e6
hex14ffebf90c

90193000716 has 864 divisors, whose sum is σ = 316479700992. Its totient is φ = 22221319680.

The previous prime is 90193000673. The next prime is 90193000757. The reversal of 90193000716 is 61700039109.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 710181045 + ... + 710181171.

Almost surely, 290193000716 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 90193000716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158239850496).

90193000716 is an abundant number, since it is smaller than the sum of its proper divisors (226286700276).

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

90193000716 is a wasteful number, since it uses less digits than its factorization.

90193000716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 90193000716 in words is "ninety billion, one hundred ninety-three million, seven hundred sixteen", and thus it is an aban number.