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91180000980 = 2232519211531217
BaseRepresentation
bin101010011101011000…
…0000110011011010100
322201100111020222011100
41110322300012123110
52443214040012410
6105515411510100
76405345135435
oct1247260063324
9281314228140
1091180000980
113573a808312
1215807bb8330
1387a1433903
1445ad90348c
152589c668c0
hex153ac066d4

91180000980 has 216 divisors, whose sum is σ = 292395520872. Its totient is φ = 22996058112.

The previous prime is 91180000969. The next prime is 91180000993. The reversal of 91180000980 is 8900008119.

It can be written as a sum of positive squares in 4 ways, for example, as 13362435216 + 77817565764 = 115596^2 + 278958^2 .

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74921332 + ... + 74922548.

It is an arithmetic number, because the mean of its divisors is an integer number (1353682967).

Almost surely, 291180000980 is an apocalyptic number.

91180000980 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91180000980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146197760436).

91180000980 is an abundant number, since it is smaller than the sum of its proper divisors (201215519892).

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

91180000980 is a wasteful number, since it uses less digits than its factorization.

91180000980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 91180000980 in words is "ninety-one billion, one hundred eighty million, nine hundred eighty", and thus it is an aban number.