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155959222849920 = 2735571093131071
BaseRepresentation
bin100011011101100000010110…
…000100111101000110000000
3202110012120000101121111100000
4203131200112010331012000
5130420213442022144140
61311410402231200000
744564452634206230
oct4335402604750600
9673176011544300
10155959222849920
1145769a314a5286
12155a9b38216000
136903b78b33c29
142a7267673dcc0
151306ccd56da30
hex8dd81613d180

155959222849920 has 768 divisors, whose sum is σ = 638866402836480. Its totient is φ = 35614935982080.

The previous prime is 155959222849873. The next prime is 155959222849939. The reversal of 155959222849920 is 29948222959551.

It is a happy number.

155959222849920 is a `hidden beast` number, since 1 + 5 + 5 + 9 + 5 + 92 + 2 + 28 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1189817985 + ... + 1189949055.

It is an arithmetic number, because the mean of its divisors is an integer number (831857295360).

Almost surely, 2155959222849920 is an apocalyptic number.

155959222849920 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 155959222849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319433201418240).

155959222849920 is an abundant number, since it is smaller than the sum of its proper divisors (482907179986560).

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

155959222849920 is a wasteful number, since it uses less digits than its factorization.

155959222849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132205 (or 132181 counting only the distinct ones).

The product of its (nonzero) digits is 419904000, while the sum is 72.

The spelling of 155959222849920 in words is "one hundred fifty-five trillion, nine hundred fifty-nine billion, two hundred twenty-two million, eight hundred forty-nine thousand, nine hundred twenty".