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189307249740 = 22355731943139
BaseRepresentation
bin1011000001001110010…
…1110110010001001100
3200002122010222200200000
42300103211312101030
511100200123442430
6222544435204300
716451132034000
oct2602345662114
9602563880600
10189307249740
1173315009714
1230832746690
1314b0bc6040b
14923bd50700
154dce876e60
hex2c1397644c

189307249740 has 1152 divisors, whose sum is σ = 753392640000. Its totient is φ = 39751471872.

The previous prime is 189307249687. The next prime is 189307249751. The reversal of 189307249740 is 47942703981.

189307249740 is a `hidden beast` number, since 1 + 89 + 3 + 0 + 72 + 497 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 1361922591 + ... + 1361922729.

Almost surely, 2189307249740 is an apocalyptic number.

189307249740 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 189307249740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376696320000).

189307249740 is an abundant number, since it is smaller than the sum of its proper divisors (564085390260).

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

189307249740 is a wasteful number, since it uses less digits than its factorization.

189307249740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 189307249740 in words is "one hundred eighty-nine billion, three hundred seven million, two hundred forty-nine thousand, seven hundred forty".