Search a number
-
+
6623363374320 = 2435711409876301
BaseRepresentation
bin110000001100001111100…
…1110001001110011110000
3212110012001120200222211110
41200120133032021303300
51332004122010434240
622030421531313320
71252344055525140
oct140303716116360
925405046628743
106623363374320
112123a52a54970
128ab79abab840
13390771436044
1418c802d10920
15b744ee91c80
hex6061f389cf0

6623363374320 has 320 divisors, whose sum is σ = 25661487559680. Its totient is φ = 1372916736000.

The previous prime is 6623363374279. The next prime is 6623363374337. The reversal of 6623363374320 is 234733633266.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6623363374320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7120170 + ... + 7996470.

It is an arithmetic number, because the mean of its divisors is an integer number (80192148624).

Almost surely, 26623363374320 is an apocalyptic number.

6623363374320 is a gapful number since it is divisible by the number (60) 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 6623363374320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830743779840).

6623363374320 is an abundant number, since it is smaller than the sum of its proper divisors (19038124185360).

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

6623363374320 is a wasteful number, since it uses less digits than its factorization.

6623363374320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876744 (or 876738 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 48.

The spelling of 6623363374320 in words is "six trillion, six hundred twenty-three billion, three hundred sixty-three million, three hundred seventy-four thousand, three hundred twenty".