Search a number
-
+
2379460771968 = 273717192740607
BaseRepresentation
bin100010101000000010111…
…010100000000010000000
322102110210201020022220120
4202220002322200002000
5302441113424200333
65021035330140240
7333624153563550
oct42500272400200
98373721208816
102379460771968
1183813a634165
123251a4721680
131434c7889637
1483248cc3160
1541d66643db3
hex22a02ea0080

2379460771968 has 256 divisors, whose sum is σ = 8050810060800. Its totient is φ = 606178197504.

The previous prime is 2379460771967. The next prime is 2379460771973. The reversal of 2379460771968 is 8691770649732.

It is not an unprimeable number, because it can be changed into a prime (2379460771967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502080 + ... + 2238527.

It is an arithmetic number, because the mean of its divisors is an integer number (31448476800).

Almost surely, 22379460771968 is an apocalyptic number.

2379460771968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2379460771968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025405030400).

2379460771968 is an abundant number, since it is smaller than the sum of its proper divisors (5671349288832).

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

2379460771968 is a wasteful number, since it uses less digits than its factorization.

2379460771968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740667 (or 2740655 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 69.

The spelling of 2379460771968 in words is "two trillion, three hundred seventy-nine billion, four hundred sixty million, seven hundred seventy-one thousand, nine hundred sixty-eight".