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189117449280 = 263251731532351
BaseRepresentation
bin1011000000100001000…
…1110100010001000000
3200002010220211211101100
42300020101310101000
511044303031334110
6222513535134400
716443335536614
oct2601021642100
9602126754340
10189117449280
1173227962831
123079b074400
1314aab837756
149220a65344
154dbcd84bc0
hex2c08474440

189117449280 has 672 divisors, whose sum is σ = 724689358848. Its totient is φ = 45047808000.

The previous prime is 189117449267. The next prime is 189117449309. The reversal of 189117449280 is 82944711981.

189117449280 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 1 + 74 + 492 + 80 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80440105 + ... + 80442455.

It is an arithmetic number, because the mean of its divisors is an integer number (1078406784).

Almost surely, 2189117449280 is an apocalyptic number.

189117449280 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 189117449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362344679424).

189117449280 is an abundant number, since it is smaller than the sum of its proper divisors (535571909568).

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

189117449280 is a wasteful number, since it uses less digits than its factorization.

189117449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 189117449280 in words is "one hundred eighty-nine billion, one hundred seventeen million, four hundred forty-nine thousand, two hundred eighty".