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4534539190272 = 216367213149
BaseRepresentation
bin100000111111100011110…
…0110010000000000000000
3121001111102211111002000000
41001333013212100000000
51043243214013042042
613351045532000000
7645416052105300
oct101770746200000
917044384432000
104534539190272
1114990a6180a13
126129a8000000
1326b7b38571b0
14119689799600
157ce48e9774c
hex41fc7990000

4534539190272 has 1428 divisors, whose sum is σ = 17148294179100. Its totient is φ = 1187896098816.

The previous prime is 4534539190241. The next prime is 4534539190273. The reversal of 4534539190272 is 2720919354354.

It is a happy number.

4534539190272 is a `hidden beast` number, since 4 + 5 + 34 + 539 + 1 + 9 + 0 + 2 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 599298932736 + 3935240257536 = 774144^2 + 1983744^2 .

It is a super-2 number, since 2×45345391902722 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4534539190273) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 30433148854 + ... + 30433149002.

Almost surely, 24534539190272 is an apocalyptic number.

4534539190272 is a gapful number since it is divisible by the number (42) 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 4534539190272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574147089550).

4534539190272 is an abundant number, since it is smaller than the sum of its proper divisors (12613754988828).

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

4534539190272 is an frugal number, since it uses more digits than its factorization.

4534539190272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 4534539190272 in words is "four trillion, five hundred thirty-four billion, five hundred thirty-nine million, one hundred ninety thousand, two hundred seventy-two".