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147972205080 = 233357219914051
BaseRepresentation
bin1000100111001111010…
…1001010101000011000
3112010221102210212012000
42021303311022220120
54411021341030310
6151551045521000
713455613663500
oct2116365125030
9463842725160
10147972205080
11578334a7887
1224817713160
1310c524229cb
14723a33ca00
153cb0a7b4c0
hex2273d4aa18

147972205080 has 384 divisors, whose sum is σ = 576694080000. Its totient is φ = 33649862400.

The previous prime is 147972205039. The next prime is 147972205081. The reversal of 147972205080 is 80502279741.

It is a happy number.

147972205080 is a `hidden beast` number, since 1 + 4 + 79 + 72 + 2 + 0 + 508 + 0 = 666.

147972205080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (147972205081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10524055 + ... + 10538105.

It is an arithmetic number, because the mean of its divisors is an integer number (1501807500).

Almost surely, 2147972205080 is an apocalyptic number.

147972205080 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 147972205080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288347040000).

147972205080 is an abundant number, since it is smaller than the sum of its proper divisors (428721874920).

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

147972205080 is a wasteful number, since it uses less digits than its factorization.

147972205080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284 (or 14267 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 147972205080 in words is "one hundred forty-seven billion, nine hundred seventy-two million, two hundred five thousand, eighty".