Search a number
-
+
12077234699552 = 25114715116728949
BaseRepresentation
bin1010111110111111001101…
…0010001011110100100000
31120202120110020210100201022
42233233303102023310200
53040333134040341202
641404112141425012
72354360064066461
oct257576322136440
946676406710638
1012077234699552
113936a21153810
12143079556b168
13697b55956539
142da7813a6d68
1515e25375aea2
hexafbf348bd20

12077234699552 has 192 divisors, whose sum is σ = 26826528153600. Its totient is φ = 5305126272000.

The previous prime is 12077234699461. The next prime is 12077234699561. The reversal of 12077234699552 is 25599643277021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417175574 + ... + 417204522.

It is an arithmetic number, because the mean of its divisors is an integer number (139721500800).

Almost surely, 212077234699552 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 12077234699552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13413264076800).

12077234699552 is an abundant number, since it is smaller than the sum of its proper divisors (14749293454048).

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

12077234699552 is a wasteful number, since it uses less digits than its factorization.

12077234699552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29335 (or 29327 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 62.

The spelling of 12077234699552 in words is "twelve trillion, seventy-seven billion, two hundred thirty-four million, six hundred ninety-nine thousand, five hundred fifty-two".