Search a number
-
+
148869418896 = 2432112372792
BaseRepresentation
bin1000101010100101001…
…1110000111110010000
3112020020222002001011100
42022221103300332100
54414341032401041
6152220100144400
713520060116302
oct2125123607620
9466228061140
10148869418896
11581539a6900
1224a28098100
1311066282163
1472c3571972
153d147076b6
hex22a94f0f90

148869418896 has 405 divisors, whose sum is σ = 476690585553. Its totient is φ = 43337099520.

The previous prime is 148869418877. The next prime is 148869418903. The reversal of 148869418896 is 698814968841.

The square root of 148869418896 is 385836.

It is a perfect power (a square), and thus also a powerful number.

148869418896 is a `hidden beast` number, since 1 + 48 + 86 + 9 + 418 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133210400400 + 15659018496 = 364980^2 + 125136^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1884422985 + ... + 1884423063.

Almost surely, 2148869418896 is an apocalyptic number.

148869418896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

148869418896 is the 385836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148869418896

148869418896 is an abundant number, since it is smaller than the sum of its proper divisors (327821166657).

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

148869418896 is a wasteful number, since it uses less digits than its factorization.

148869418896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 132 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 72.

Subtracting 148869418896 from its reverse (698814968841), we obtain a palindrome (549945549945).

It can be divided in two parts, 148869 and 418896, that added together give a palindrome (567765).

The spelling of 148869418896 in words is "one hundred forty-eight billion, eight hundred sixty-nine million, four hundred eighteen thousand, eight hundred ninety-six".