Search a number
-
+
6629052992320 = 2651122934431319
BaseRepresentation
bin110000001110111001001…
…0110010100101101000000
3212110201202002201112110001
41200131302112110231000
51332102300031223240
622033202255445344
71252635053503543
oct140356226245500
925421662645401
106629052992320
112126402660100
128b0908526854
1339116a10a605
1418cbc280685a
15b768471989a
hex60772594b40

6629052992320 has 336 divisors, whose sum is σ = 17462677921920. Its totient is φ = 2395097436160.

The previous prime is 6629052992269. The next prime is 6629052992327. The reversal of 6629052992320 is 232992509266.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6629052992327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5025816621 + ... + 5025817939.

It is an arithmetic number, because the mean of its divisors is an integer number (51972255720).

Almost surely, 26629052992320 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 6629052992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731338960960).

6629052992320 is an abundant number, since it is smaller than the sum of its proper divisors (10833624929600).

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

6629052992320 is a wasteful number, since it uses less digits than its factorization.

6629052992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 55.

The spelling of 6629052992320 in words is "six trillion, six hundred twenty-nine billion, fifty-two million, nine hundred ninety-two thousand, three hundred twenty".