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148695843312 = 24343719316067
BaseRepresentation
bin1000101001111011110…
…1101000000111110000
3112012210212110111020000
42022132331220013300
54414012113441222
6152150535550000
713512551546112
oct2123675500760
9465725414200
10148695843312
1158074a21a05
1224999b2b300
131103931a503
1472a84ab3b2
153d0436c9ac
hex229ef681f0

148695843312 has 200 divisors, whose sum is σ = 444318313296. Its totient is φ = 47972818944.

The previous prime is 148695843301. The next prime is 148695843313. The reversal of 148695843312 is 213348596841.

It is a happy number.

148695843312 is a `hidden beast` number, since 1 + 48 + 6 + 9 + 584 + 3 + 3 + 12 = 666.

148695843312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1486958433122 (a number of 23 digits) contains 22 as substring.

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 (148695843313) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 9246703 + ... + 9262769.

Almost surely, 2148695843312 is an apocalyptic number.

148695843312 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 148695843312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222159156648).

148695843312 is an abundant number, since it is smaller than the sum of its proper divisors (295622469984).

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

148695843312 is a wasteful number, since it uses less digits than its factorization.

148695843312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16317 (or 16302 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 148695843312 in words is "one hundred forty-eight billion, six hundred ninety-five million, eight hundred forty-three thousand, three hundred twelve".