Search a number
-
+
5331967229952 = 214331119101571
BaseRepresentation
bin100110110010111001000…
…0000110100000000000000
3200212201201222000200201000
41031211302000310000000
51144324332102324302
615201245534212000
71060136055441606
oct115456200640000
920781658020630
105331967229952
111776302551870
12721455054000
132c8a579ca54c
141460d62db876
1593a6b59731c
hex4d972034000

5331967229952 has 960 divisors, whose sum is σ = 18352875340800. Its totient is φ = 1512898560000.

The previous prime is 5331967229909. The next prime is 5331967229969. The reversal of 5331967229952 is 2599227691335.

It is a happy number.

5331967229952 is a `hidden beast` number, since 5 + 3 + 319 + 6 + 7 + 229 + 95 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5331967229952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9337945827 + ... + 9337946397.

It is an arithmetic number, because the mean of its divisors is an integer number (19117578480).

Almost surely, 25331967229952 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 5331967229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9176437670400).

5331967229952 is an abundant number, since it is smaller than the sum of its proper divisors (13020908110848).

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

5331967229952 is a wasteful number, since it uses less digits than its factorization.

5331967229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 707 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 5331967229952 in words is "five trillion, three hundred thirty-one billion, nine hundred sixty-seven million, two hundred twenty-nine thousand, nine hundred fifty-two".