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2143119831552 = 29337192311979
BaseRepresentation
bin11111001011111011111…
…001010111001000000000
321120212202201001121001000
4133023323321113020000
5240103102134102202
64320311411412000
7310556336000130
oct37137371271000
97525681047030
102143119831552
1175698a301607
122a74265b4000
131271315a5c2b
1475a28598ac0
153ab32a6391c
hex1f2fbe57200

2143119831552 has 960 divisors, whose sum is σ = 7902522777600. Its totient is φ = 561096253440.

The previous prime is 2143119831527. The next prime is 2143119831659. The reversal of 2143119831552 is 2551389113412.

2143119831552 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 1 + 1 + 98 + 3 + 1 + 552 = 666.

It is a super-2 number, since 2×21431198315522 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2143119831498 and 2143119831507.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1082929699 + ... + 1082931677.

It is an arithmetic number, because the mean of its divisors is an integer number (8231794560).

Almost surely, 22143119831552 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 2143119831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951261388800).

2143119831552 is an abundant number, since it is smaller than the sum of its proper divisors (5759402946048).

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

2143119831552 is a wasteful number, since it uses less digits than its factorization.

2143119831552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2041 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 2143119831552 in words is "two trillion, one hundred forty-three billion, one hundred nineteen million, eight hundred thirty-one thousand, five hundred fifty-two".