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148275496320 = 273574126563
BaseRepresentation
bin1000101000010111101…
…0001000010110000000
3112011201120111122112220
42022011322020112000
54412132011340240
6152041122251040
713466255631510
oct2120572102600
9464646448486
10148275496320
1157979719aa6
12248a11b6a80
1310ca0203893
14726872b840
153ccc4da5d0
hex2285e88580

148275496320 has 384 divisors, whose sum is σ = 553726437120. Its totient is φ = 33059880960.

The previous prime is 148275496319. The next prime is 148275496331. The reversal of 148275496320 is 23694572841.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22589359 + ... + 22595921.

It is an arithmetic number, because the mean of its divisors is an integer number (1441995930).

It is a 1-persistent number, because it is pandigital, but 2⋅148275496320 = 296550992640 is not.

Almost surely, 2148275496320 is an apocalyptic number.

148275496320 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 148275496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276863218560).

148275496320 is an abundant number, since it is smaller than the sum of its proper divisors (405450940800).

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

148275496320 is an equidigital number, since it uses as much as digits as its factorization.

148275496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 148275496320 in words is "one hundred forty-eight billion, two hundred seventy-five million, four hundred ninety-six thousand, three hundred twenty".