Search a number
-
+
2313556172928 = 273671113173147
BaseRepresentation
bin100001101010101010101…
…100011010000010000000
322012011200201002211000000
4201222222230122002000
5300401130340013203
64530455534000000
7326102035666440
oct41525254320200
98164621084000
102313556172928
118121a0166490
12314471346000
1313a223a56a80
147dd96176120
15402aa8504a3
hex21aaab1a080

2313556172928 has 3584 divisors, whose sum is σ = 10356746158080. Its totient is φ = 494478950400.

The previous prime is 2313556172887. The next prime is 2313556172957. The reversal of 2313556172928 is 8292716553132.

2313556172928 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 5 + 561 + 72 + 9 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 49224599401 + ... + 49224599447.

It is an arithmetic number, because the mean of its divisors is an integer number (2889717120).

Almost surely, 22313556172928 is an apocalyptic number.

2313556172928 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 2313556172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5178373079040).

2313556172928 is an abundant number, since it is smaller than the sum of its proper divisors (8043189985152).

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

2313556172928 is a wasteful number, since it uses less digits than its factorization.

2313556172928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 2313556172928 in words is "two trillion, three hundred thirteen billion, five hundred fifty-six million, one hundred seventy-two thousand, nine hundred twenty-eight".