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189314094060 = 22325721321731241
BaseRepresentation
bin1011000001001111111…
…1111101001111101100
3200002122121212102022100
42300103333331033230
511100203402002220
6222545242015100
716451244151200
oct2602377751754
9602577772270
10189314094060
1173318963983
1230834aa7490
1314b104b8800
14923cc12b00
154dd0279d90
hex2c13ffd3ec

189314094060 has 1296 divisors, whose sum is σ = 793882881792. Its totient is φ = 36229939200.

The previous prime is 189314094049. The next prime is 189314094083. The reversal of 189314094060 is 60490413981.

189314094060 is a `hidden beast` number, since 18 + 93 + 140 + 9 + 406 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 189314093997 and 189314094015.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 785535540 + ... + 785535780.

It is an arithmetic number, because the mean of its divisors is an integer number (612563952).

Almost surely, 2189314094060 is an apocalyptic number.

189314094060 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 189314094060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396941440896).

189314094060 is an abundant number, since it is smaller than the sum of its proper divisors (604568787732).

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

189314094060 is a wasteful number, since it uses less digits than its factorization.

189314094060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 189314094060 in words is "one hundred eighty-nine billion, three hundred fourteen million, ninety-four thousand, sixty".