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148098834432 = 2133624799
BaseRepresentation
bin1000100111101101100…
…0001110000000000000
3112011021021002022000000
42021323120032000000
54411301300200212
6152011412000000
713462012215333
oct2117330160000
9464237068000
10148098834432
1157898a2733a
1224852000000
1310c7272b213
14724d0a261a
153cbbc411dc
hex227b60e000

148098834432 has 196 divisors, whose sum is σ = 444084151200. Its totient is φ = 49364287488.

The previous prime is 148098834419. The next prime is 148098834439. The reversal of 148098834432 is 234438890841.

148098834432 is a `hidden beast` number, since 1 + 48 + 0 + 98 + 83 + 4 + 432 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148098834439) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 5959569 + ... + 5984367.

Almost surely, 2148098834432 is an apocalyptic number.

148098834432 is a gapful number since it is divisible by the number (12) 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 148098834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222042075600).

148098834432 is an abundant number, since it is smaller than the sum of its proper divisors (295985316768).

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

148098834432 is an frugal number, since it uses more digits than its factorization.

148098834432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24843 (or 24804 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 148098834432 in words is "one hundred forty-eight billion, ninety-eight million, eight hundred thirty-four thousand, four hundred thirty-two".