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148893315168 = 253131719431857
BaseRepresentation
bin1000101010101010111…
…0111011000001100000
3112020022122001002200110
42022222232323001200
54414413142041133
6152222312251320
713520500203603
oct2125256730140
9466278032613
10148893315168
1158166438494
1224a340a0b40
131106b1cab70
1472c67d233a
153d16877c63
hex22aabbb060

148893315168 has 384 divisors, whose sum is σ = 470762772480. Its totient is φ = 40706703360.

The previous prime is 148893315143. The next prime is 148893315199. The reversal of 148893315168 is 861513398841.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 173737396 + ... + 173738252.

It is an arithmetic number, because the mean of its divisors is an integer number (1225944720).

Almost surely, 2148893315168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148893315168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235381386240).

148893315168 is an abundant number, since it is smaller than the sum of its proper divisors (321869457312).

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

148893315168 is a wasteful number, since it uses less digits than its factorization.

148893315168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The spelling of 148893315168 in words is "one hundred forty-eight billion, eight hundred ninety-three million, three hundred fifteen thousand, one hundred sixty-eight".