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148899824640 = 210365741139
BaseRepresentation
bin1000101010101100011…
…1110000010000000000
3112020100002021211000000
42022223013300100000
54414421323342030
6152223104000000
713520606424630
oct2125307602000
9466302254000
10148899824640
115816a084116
1224a36300000
131106c669a18
1472c76086c0
153d17211860
hex22ab1f0400

148899824640 has 1232 divisors, whose sum is σ = 631475591040. Its totient is φ = 32965263360.

The previous prime is 148899824639. The next prime is 148899824669. The reversal of 148899824640 is 46428998841.

148899824640 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 99 + 82 + 464 + 0 = 666.

It is a super-2 number, since 2×1488998246402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 111 ways as a sum of consecutive naturals, for example, 1071221691 + ... + 1071221829.

Almost surely, 2148899824640 is an apocalyptic number.

148899824640 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 148899824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315737795520).

148899824640 is an abundant number, since it is smaller than the sum of its proper divisors (482575766400).

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

148899824640 is an equidigital number, since it uses as much as digits as its factorization.

148899824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 148899824640 in words is "one hundred forty-eight billion, eight hundred ninety-nine million, eight hundred twenty-four thousand, six hundred forty".