Search a number
-
+
4052340432504 = 23327133729575653
BaseRepresentation
bin111010111110000010010…
…011111101111001111000
3112100101210120110011101100
4322332002103331321320
51012343143122320004
612341341451051400
7565525526226210
oct72760223757170
915311716404340
104052340432504
111322651591261
12555454740b60
132351986c8c60
141001c4825240
157062605b739
hex3af824fde78

4052340432504 has 384 divisors, whose sum is σ = 13880023597440. Its totient is φ = 1039328464896.

The previous prime is 4052340432499. The next prime is 4052340432563.

4052340432504 is a `hidden beast` number, since 4 + 0 + 523 + 40 + 43 + 2 + 50 + 4 = 666.

4052340432504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 716844942 + ... + 716850594.

It is an arithmetic number, because the mean of its divisors is an integer number (36145894785).

Almost surely, 24052340432504 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 4052340432504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940011798720).

4052340432504 is an abundant number, since it is smaller than the sum of its proper divisors (9827683164936).

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

4052340432504 is a wasteful number, since it uses less digits than its factorization.

4052340432504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 4052340 and 432504, that added together give a palindrome (4484844).

The spelling of 4052340432504 in words is "four trillion, fifty-two billion, three hundred forty million, four hundred thirty-two thousand, five hundred four".