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2139454658880 = 26355711357319
BaseRepresentation
bin11111001000100001011…
…011110101100101000000
321120112022021101112100000
4133020201123311211000
5240023100343041010
64314504002200000
7310366452355410
oct37104133654500
97515267345300
102139454658880
1175537941a090
122a6783053000
131269991575c6
147579b8c2640
153a9badcb7c0
hex1f2216f5940

2139454658880 has 672 divisors, whose sum is σ = 9514476840960. Its totient is φ = 444560762880.

The previous prime is 2139454658851. The next prime is 2139454658881. The reversal of 2139454658880 is 888564549312.

2139454658880 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 4 + 5 + 46 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139454658881) by changing a digit.

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, 5808861 + ... + 6166179.

It is an arithmetic number, because the mean of its divisors is an integer number (14158447680).

Almost surely, 22139454658880 is an apocalyptic number.

2139454658880 is a gapful number since it is divisible by the number (20) 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 2139454658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757238420480).

2139454658880 is an abundant number, since it is smaller than the sum of its proper divisors (7375022182080).

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

2139454658880 is a wasteful number, since it uses less digits than its factorization.

2139454658880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357369 (or 357347 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 2139454658880 in words is "two trillion, one hundred thirty-nine billion, four hundred fifty-four million, six hundred fifty-eight thousand, eight hundred eighty".