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118590020220672 = 2834711135713327
BaseRepresentation
bin11010111101101101100100…
…000001110111011100000000
3120112220002120102001220220000
4122331231210001313130000
5111020434330134030142
61100115300404520000
733656563152620430
oct3275554401673400
9515802512056800
10118590020220672
1134871821863010
12113736599b0000
135122cb6095340
14213db052862c0
15da9bea2ce14c
hex6bdb64077700

118590020220672 has 720 divisors, whose sum is σ = 474782493115392. Its totient is φ = 28433166704640.

The previous prime is 118590020220629. The next prime is 118590020220689. The reversal of 118590020220672 is 276022020095811.

118590020220672 is a `hidden beast` number, since 1 + 18 + 590 + 0 + 20 + 2 + 20 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×1185900202206722 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17900073 + ... + 23613399.

Almost surely, 2118590020220672 is an apocalyptic number.

118590020220672 is a gapful number since it is divisible by the number (12) 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 118590020220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237391246557696).

118590020220672 is an abundant number, since it is smaller than the sum of its proper divisors (356192472894720).

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

118590020220672 is a wasteful number, since it uses less digits than its factorization.

118590020220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713386 (or 5713363 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 118590020220672 in words is "one hundred eighteen trillion, five hundred ninety billion, twenty million, two hundred twenty thousand, six hundred seventy-two".