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2148229144908 = 2235711614191123
BaseRepresentation
bin11111010000101100011…
…011110110000101001100
321121100221210010121100000
4133100230123312011030
5240144033130114113
64322514410004300
7311130056306340
oct37205433660514
97540853117300
102148229144908
11759071391330
122a8411716690
13127766c89482
1475d90d93620
153ad313ae373
hex1f42c6f614c

2148229144908 has 576 divisors, whose sum is σ = 7159421767680. Its totient is φ = 547036934400.

The previous prime is 2148229144891. The next prime is 2148229144909. The reversal of 2148229144908 is 8094419228412.

2148229144908 is a `hidden beast` number, since 2 + 1 + 48 + 22 + 91 + 4 + 490 + 8 = 666.

It is a super-2 number, since 2×21482291449082 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2148229144909) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1912937235 + ... + 1912938357.

It is an arithmetic number, because the mean of its divisors is an integer number (12429551680).

Almost surely, 22148229144908 is an apocalyptic number.

2148229144908 is a gapful number since it is divisible by the number (28) 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 2148229144908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579710883840).

2148229144908 is an abundant number, since it is smaller than the sum of its proper divisors (5011192622772).

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

2148229144908 is a wasteful number, since it uses less digits than its factorization.

2148229144908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2148229144908 in words is "two trillion, one hundred forty-eight billion, two hundred twenty-nine million, one hundred forty-four thousand, nine hundred eight".