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148745313360 = 24335726123039
BaseRepresentation
bin1000101010000111101…
…0010101110001010000
3112012221022112211101000
42022201322111301100
54414112300011420
6152155504142000
713514022205500
oct2124172256120
9465838484330
10148745313360
115809a940546
12249b2607900
131104664b627
1472b0ca7a00
153d08890690
hex22a1e95c50

148745313360 has 480 divisors, whose sum is σ = 605789798400. Its totient is φ = 33440117760.

The previous prime is 148745313359. The next prime is 148745313361. The reversal of 148745313360 is 63313547841.

148745313360 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 453 + 133 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (148745313359) and next prime (148745313361).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148745313361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6444721 + ... + 6467759.

It is an arithmetic number, because the mean of its divisors is an integer number (1262062080).

Almost surely, 2148745313360 is an apocalyptic number.

148745313360 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 148745313360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302894899200).

148745313360 is an abundant number, since it is smaller than the sum of its proper divisors (457044485040).

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

148745313360 is a wasteful number, since it uses less digits than its factorization.

148745313360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23136 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 148745313360 in words is "one hundred forty-eight billion, seven hundred forty-five million, three hundred thirteen thousand, three hundred sixty".