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2118143395368 = 23337411135
BaseRepresentation
bin11110110100101011001…
…011110100011000101000
321111111022001111011201000
4132310223023310120220
5234200424202122433
64301021151555000
7306013365540000
oct36645313643050
97444261434630
102118143395368
117473327aa410
122a2615b2ba60
13124980c00000
14747393c7000
153a16ee98113
hex1ed2b2f4628

2118143395368 has 960 divisors, whose sum is σ = 8111933524800. Its totient is φ = 507846568320.

The previous prime is 2118143395367. The next prime is 2118143395387. The reversal of 2118143395368 is 8635933418112.

It is a happy number.

2118143395368 is a `hidden beast` number, since 2 + 1 + 181 + 43 + 395 + 36 + 8 = 666.

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

Its product of digits (3732480) is a multiple of the sum of its prime divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2118143395367) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 162934107330 + ... + 162934107342.

It is an arithmetic number, because the mean of its divisors is an integer number (8449930755).

Almost surely, 22118143395368 is an apocalyptic number.

2118143395368 is a gapful number since it is divisible by the number (28) 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 2118143395368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055966762400).

2118143395368 is an abundant number, since it is smaller than the sum of its proper divisors (5993790129432).

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

2118143395368 is an frugal number, since it uses more digits than its factorization.

2118143395368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 36 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 2118143395368 in words is "two trillion, one hundred eighteen billion, one hundred forty-three million, three hundred ninety-five thousand, three hundred sixty-eight".