Search a number
-
+
1630660248000 = 2635537119831
BaseRepresentation
bin10111101110101010111…
…011001100000111000000
312202220000111221110100000
4113232222323030013000
5203204043010414000
63245040500200000
7225545165261130
oct27565273140700
95686014843300
101630660248000
11579617220623
12224048999000
13baa0301c814
1458cd26c2ac0
152c63d17c000
hex17baaecc1c0

1630660248000 has 672 divisors, whose sum is σ = 6913412932608. Its totient is φ = 372719232000.

The previous prime is 1630660247863. The next prime is 1630660248073. The reversal of 1630660248000 is 8420660361.

1630660248000 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 6 + 602 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 13548085 + ... + 13667915.

It is an arithmetic number, because the mean of its divisors is an integer number (10287816864).

Almost surely, 21630660248000 is an apocalyptic number.

1630660248000 is a gapful number since it is divisible by the number (10) 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 1630660248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456706466304).

1630660248000 is an abundant number, since it is smaller than the sum of its proper divisors (5282752684608).

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

1630660248000 is an equidigital number, since it uses as much as digits as its factorization.

1630660248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119880 (or 119848 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1630660248000 in words is "one trillion, six hundred thirty billion, six hundred sixty million, two hundred forty-eight thousand".