Search a number
-
+
2872615215456 = 2536785920479
BaseRepresentation
bin101001110011010101001…
…101011010000101100000
3101011121201111022202000000
4221303111031122011200
5334031103443343311
610035354453300000
7414353040311430
oct51632515320540
911147644282000
102872615215456
11a082a6444738
123a4895034600
1317ab6a6c7a4c
149d06ccb02c0
154eacb2b9056
hex29cd535a160

2872615215456 has 336 divisors, whose sum is σ = 9702398361600. Its totient is φ = 819751705344.

The previous prime is 2872615215439. The next prime is 2872615215467. The reversal of 2872615215456 is 6545125162782.

2872615215456 is a `hidden beast` number, since 2 + 8 + 7 + 2 + 61 + 521 + 5 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 140261025 + ... + 140281503.

It is an arithmetic number, because the mean of its divisors is an integer number (28876185600).

Almost surely, 22872615215456 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 2872615215456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851199180800).

2872615215456 is an abundant number, since it is smaller than the sum of its proper divisors (6829783146144).

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

2872615215456 is an equidigital number, since it uses as much as digits as its factorization.

2872615215456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21373 (or 21350 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The spelling of 2872615215456 in words is "two trillion, eight hundred seventy-two billion, six hundred fifteen million, two hundred fifteen thousand, four hundred fifty-six".