Search a number
-
+
2163104165376 = 2935711435989
BaseRepresentation
bin11111011110100011000…
…011100010111000000000
321122210100110002221100000
4133132203003202320000
5240420014131243001
64333414421200000
7312164511015060
oct37364303427000
97583313087300
102163104165376
11764404a00380
122ab283260000
13128c97956c2b
14769a27633a0
153b402237a86
hex1f7a30e2e00

2163104165376 has 1920 divisors, whose sum is σ = 8493656371200. Its totient is φ = 533416181760.

The previous prime is 2163104165297. The next prime is 2163104165423. The reversal of 2163104165376 is 6735614013612.

2163104165376 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 104 + 1 + 6 + 537 + 6 = 666.

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 191 ways as a sum of consecutive naturals, for example, 24304541140 + ... + 24304541228.

It is an arithmetic number, because the mean of its divisors is an integer number (4423779360).

Almost surely, 22163104165376 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 2163104165376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246828185600).

2163104165376 is an abundant number, since it is smaller than the sum of its proper divisors (6330552205824).

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

2163104165376 is an equidigital number, since it uses as much as digits as its factorization.

2163104165376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

Adding to 2163104165376 its reverse (6735614013612), we get a palindrome (8898718178988).

The spelling of 2163104165376 in words is "two trillion, one hundred sixty-three billion, one hundred four million, one hundred sixty-five thousand, three hundred seventy-six".