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1189949359104 = 2103211210332
BaseRepresentation
bin10001010100001110100…
…000100100010000000000
311012202110121122122121100
4101110032200210100000
5123444004013442404
62310353304254400
7151654024444002
oct21241640442000
94182417578540
101189949359104
11419722433900
12172753771400
138829a27950c
1441845782372
1520e47677d39
hex1150e824400

1189949359104 has 297 divisors, whose sum is σ = 3780368213349. Its totient is φ = 360241643520.

The previous prime is 1189949359099. The next prime is 1189949359121. The reversal of 1189949359104 is 4019539499811.

The square root of 1189949359104 is 1090848.

It is a perfect power (a square), and thus also a powerful number.

1189949359104 is a `hidden beast` number, since 1 + 1 + 8 + 99 + 493 + 59 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1148840985600 + 41108373504 = 1071840^2 + 202752^2 .

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 26 ways as a sum of consecutive naturals, for example, 1151934972 + ... + 1151936004.

Almost surely, 21189949359104 is an apocalyptic number.

1189949359104 is the 1090848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1189949359104

1189949359104 is an abundant number, since it is smaller than the sum of its proper divisors (2590418854245).

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

1189949359104 is an equidigital number, since it uses as much as digits as its factorization.

1189949359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 1189949359104 in words is "one trillion, one hundred eighty-nine billion, nine hundred forty-nine million, three hundred fifty-nine thousand, one hundred four".