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147272112000 = 27325313151521
BaseRepresentation
bin1000100100101000011…
…0100001011110000000
3112002010122110110000200
42021022012201132000
54403103130041000
6151353400245200
713432353204006
oct2111206413600
9462118413020
10147272112000
11575042a4562
1224661170800
1310b70380150
1471b137ca76
153c6e38b500
hex224a1a1780

147272112000 has 768 divisors, whose sum is σ = 574447386240. Its totient is φ = 35942400000.

The previous prime is 147272111993. The next prime is 147272112011. The reversal of 147272112000 is 211272741.

It is a happy number.

147272112000 is a `hidden beast` number, since 1 + 472 + 72 + 1 + 120 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 282671740 + ... + 282672260.

Almost surely, 2147272112000 is an apocalyptic number.

147272112000 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 147272112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287223693120).

147272112000 is an abundant number, since it is smaller than the sum of its proper divisors (427175274240).

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

147272112000 is a wasteful number, since it uses less digits than its factorization.

147272112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 147272112000 its reverse (211272741), we get a palindrome (147483384741).

The spelling of 147272112000 in words is "one hundred forty-seven billion, two hundred seventy-two million, one hundred twelve thousand".