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147727450000 = 2455131729461
BaseRepresentation
bin1000100110010100111…
…1011111111110010000
3112010022101021000100001
42021211033133332100
54410021211400000
6151510503535344
713446552415024
oct2114517377620
9463271230301
10147727450000
1157718326759
122476975a554
1310c137c8710
147215a2a384
153c9933146a
hex22653dff90

147727450000 has 480 divisors, whose sum is σ = 422919493920. Its totient is φ = 49459200000.

The previous prime is 147727449979. The next prime is 147727450009. The reversal of 147727450000 is 54727741.

It can be written as a sum of positive squares in 48 ways, for example, as 60754362256 + 86973087744 = 246484^2 + 294912^2 .

It is not an unprimeable number, because it can be changed into a prime (147727450009) 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, 320449770 + ... + 320450230.

It is an arithmetic number, because the mean of its divisors is an integer number (881082279).

Almost surely, 2147727450000 is an apocalyptic number.

147727450000 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 147727450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211459746960).

147727450000 is an abundant number, since it is smaller than the sum of its proper divisors (275192043920).

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

147727450000 is a wasteful number, since it uses less digits than its factorization.

147727450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 37.

The spelling of 147727450000 in words is "one hundred forty-seven billion, seven hundred twenty-seven million, four hundred fifty thousand".