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189394149280 = 25572197511693
BaseRepresentation
bin1011000001100011000…
…1010101111110100000
3200002212012111122102111
42300120301111332200
511100334400234110
6223001221525104
716453235464300
oct2603061257640
9602765448374
10189394149280
117335a072616
1230857873794
1314b23c6806b
1492496d1600
154dd72dee8a
hex2c18c55fa0

189394149280 has 288 divisors, whose sum is σ = 548943816960. Its totient is φ = 61399296000.

The previous prime is 189394149227. The next prime is 189394149281. The reversal of 189394149280 is 82941493981.

It is not an unprimeable number, because it can be changed into a prime (189394149281) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 111868114 + ... + 111869806.

It is an arithmetic number, because the mean of its divisors is an integer number (1906054920).

Almost surely, 2189394149280 is an apocalyptic number.

189394149280 is a gapful number since it is divisible by the number (10) 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 189394149280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274471908480).

189394149280 is an abundant number, since it is smaller than the sum of its proper divisors (359549667680).

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

189394149280 is a wasteful number, since it uses less digits than its factorization.

189394149280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 189394149280 in words is "one hundred eighty-nine billion, three hundred ninety-four million, one hundred forty-nine thousand, two hundred eighty".