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148140891360 = 253357111722367
BaseRepresentation
bin1000100111110111100…
…0101001110011100000
3112011101012020000021000
42021331320221303200
54411343032010420
6152015513232000
713463032541310
oct2117570516340
9464335200230
10148140891360
115790a742330
1224864102600
1310c7b365087
1472548cd440
153cc079c690
hex227de29ce0

148140891360 has 2304 divisors, whose sum is σ = 727246356480. Its totient is φ = 27298529280.

The previous prime is 148140891359. The next prime is 148140891391. The reversal of 148140891360 is 63198041841.

148140891360 is a `hidden beast` number, since 148 + 140 + 8 + 9 + 1 + 360 = 666.

148140891360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 383 ways as a sum of consecutive naturals, for example, 2211058047 + ... + 2211058113.

It is an arithmetic number, because the mean of its divisors is an integer number (315645120).

Almost surely, 2148140891360 is an apocalyptic number.

148140891360 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 148140891360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363623178240).

148140891360 is an abundant number, since it is smaller than the sum of its proper divisors (579105465120).

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

148140891360 is a wasteful number, since it uses less digits than its factorization.

148140891360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 148140891360 in words is "one hundred forty-eight billion, one hundred forty million, eight hundred ninety-one thousand, three hundred sixty".