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148693250880 = 26335311733209
BaseRepresentation
bin1000101001111011001…
…1101111001101000000
3112012210200120210002000
42022132303233031000
54414010433012010
6152150404224000
713512520531026
oct2123663571500
9465720523060
10148693250880
11580735111a9
122499909b000
1311038920525
1472a7dd4716
153d040097c0
hex229ecef340

148693250880 has 448 divisors, whose sum is σ = 544777574400. Its totient is φ = 38138757120.

The previous prime is 148693250863. The next prime is 148693250939. The reversal of 148693250880 is 88052396841.

148693250880 is a `hidden beast` number, since 1 + 48 + 6 + 93 + 2 + 508 + 8 + 0 = 666.

148693250880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46334716 + ... + 46337924.

Almost surely, 2148693250880 is an apocalyptic number.

148693250880 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 148693250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272388787200).

148693250880 is an abundant number, since it is smaller than the sum of its proper divisors (396084323520).

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

148693250880 is a wasteful number, since it uses less digits than its factorization.

148693250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 148693250880 in words is "one hundred forty-eight billion, six hundred ninety-three million, two hundred fifty thousand, eight hundred eighty".