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148374632448 = 2113272349999
BaseRepresentation
bin1000101000101111010…
…0010011100000000000
3112011222111001021202100
42022023310103200000
54412332401214243
6152055023150400
713501601365230
oct2121364234000
9464874037670
10148374632448
1157a1a680489
122490a445400
1310cb7904103
147277975cc0
153cd606e0d3
hex228bd13800

148374632448 has 288 divisors, whose sum is σ = 511056000000. Its totient is φ = 40548777984.

The previous prime is 148374632429. The next prime is 148374632453. The reversal of 148374632448 is 844236473841.

148374632448 is a `hidden beast` number, since 148 + 37 + 463 + 2 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 148374632394 and 148374632403.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2942553 + ... + 2992551.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500000).

Almost surely, 2148374632448 is an apocalyptic number.

148374632448 is a gapful number since it is divisible by the number (18) 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 148374632448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528000000).

148374632448 is an abundant number, since it is smaller than the sum of its proper divisors (362681367552).

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

148374632448 is a wasteful number, since it uses less digits than its factorization.

148374632448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50057 (or 50034 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 148374632448 in words is "one hundred forty-eight billion, three hundred seventy-four million, six hundred thirty-two thousand, four hundred forty-eight".