Search a number
-
+
2182094131392 = 263273671474643
BaseRepresentation
bin11111110000001110111…
…100100001000011000000
321201121100220002011102200
4133300032330201003000
5241222412044201032
64350235030113200
7313436220040350
oct37601674410300
97647326064380
102182094131392
1177146a28296a
122b2aa2aab800
1312aa02cc0506
1477884848b60
153bb6448e47c
hex1fc0ef210c0

2182094131392 has 168 divisors, whose sum is σ = 7167572046336. Its totient is φ = 621756255744.

The previous prime is 2182094131297. The next prime is 2182094131411. The reversal of 2182094131392 is 2931314902812.

2182094131392 is a `hidden beast` number, since 2 + 1 + 8 + 209 + 41 + 313 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 742423 + ... + 2217065.

Almost surely, 22182094131392 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 2182094131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583786023168).

2182094131392 is an abundant number, since it is smaller than the sum of its proper divisors (4985477914944).

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

2182094131392 is a wasteful number, since it uses less digits than its factorization.

2182094131392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475035 (or 1475022 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 2182094131392 in words is "two trillion, one hundred eighty-two billion, ninety-four million, one hundred thirty-one thousand, three hundred ninety-two".