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172245952512 = 21132191732843
BaseRepresentation
bin1010000001101010101…
…0001010100000000000
3121110121010010222202200
42200122222022200000
510310224430440022
6211043444313200
715305262303444
oct2403252124000
9543533128680
10172245952512
116705a393577
12294709a2800
131332035777a
1484a0076824
154731ae2bac
hex281aa8a800

172245952512 has 288 divisors, whose sum is σ = 526873183200. Its totient is φ = 54060023808.

The previous prime is 172245952441. The next prime is 172245952553. The reversal of 172245952512 is 215259542271.

It is a happy number.

172245952512 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 4 + 595 + 2 + 51 + 2 = 666.

172245952512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1722459525122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60584563 + ... + 60587405.

It is an arithmetic number, because the mean of its divisors is an integer number (1829420775).

Almost surely, 2172245952512 is an apocalyptic number.

172245952512 is a gapful number since it is divisible by the number (12) 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 172245952512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263436591600).

172245952512 is an abundant number, since it is smaller than the sum of its proper divisors (354627230688).

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

172245952512 is a wasteful number, since it uses less digits than its factorization.

172245952512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3040 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 172245952512 in words is "one hundred seventy-two billion, two hundred forty-five million, nine hundred fifty-two thousand, five hundred twelve".