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5955206676480 = 215355149579
BaseRepresentation
bin101011010101000110111…
…1110101000000000000000
3210002022102120222221200000
41112222031332220000000
51240032230402121410
620355441214400000
71153151400355215
oct126521576500000
923068376887600
105955206676480
111996652a0a516
128021aa800000
1334275c202b39
1416833ab9db0c
15a4d96771dc0
hex56a8dfa8000

5955206676480 has 384 divisors, whose sum is σ = 21409152055200. Its totient is φ = 1588044496896.

The previous prime is 5955206676467. The next prime is 5955206676491. The reversal of 5955206676480 is 846766025595.

It is a happy number.

5955206676480 is a `hidden beast` number, since 5 + 9 + 5 + 5 + 20 + 66 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 39738331 + ... + 39887909.

Almost surely, 25955206676480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5955206676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10704576027600).

5955206676480 is an abundant number, since it is smaller than the sum of its proper divisors (15453945378720).

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

5955206676480 is an frugal number, since it uses more digits than its factorization.

5955206676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149629 (or 149589 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 5955206676480 in words is "five trillion, nine hundred fifty-five billion, two hundred six million, six hundred seventy-six thousand, four hundred eighty".