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2104240177152 = 216341931673
BaseRepresentation
bin11110100111101110011…
…111010000000000000000
321110011102010010111210000
4132213232133100000000
5233433440441132102
64250401413440000
7305012014251051
oct36475637200000
97404363114700
102104240177152
117414487a4823
1229b995940000
13123576678b79
1473bbab04728
1539b095d101c
hex1e9ee7d0000

2104240177152 has 680 divisors, whose sum is σ = 6841193173760. Its totient is φ = 642105999360.

The previous prime is 2104240177141. The next prime is 2104240177159. The reversal of 2104240177152 is 2517710424012.

2104240177152 is a `hidden beast` number, since 2 + 10 + 424 + 0 + 1 + 77 + 152 = 666.

It is a super-2 number, since 2×21042401771522 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104240177159) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3126656688 + ... + 3126657360.

Almost surely, 22104240177152 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 2104240177152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420596586880).

2104240177152 is an abundant number, since it is smaller than the sum of its proper divisors (4736952996608).

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

2104240177152 is an frugal number, since it uses more digits than its factorization.

2104240177152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 2104240177152 in words is "two trillion, one hundred four billion, two hundred forty million, one hundred seventy-seven thousand, one hundred fifty-two".