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182645116900 = 2252427372
BaseRepresentation
bin1010101000011001111…
…1110100111111100100
3122110102212000021111021
42222012133310333210
510443024122220100
6215523410420524
716124054610121
oct2520637647744
9573385007437
10182645116900
1170506452704
122b493591744
13142b995308c
148ba9223748
154b3ea4ba1a
hex2a867f4fe4

182645116900 has 27 divisors (see below), whose sum is σ = 396349177819. Its totient is φ = 73056337280.

The previous prime is 182645116879. The next prime is 182645117029. The reversal of 182645116900 is 9611546281.

The square root of 182645116900 is 427370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1639116196 + 181006000704 = 40486^2 + 425448^2 .

It is a super-2 number, since 2×1826451169002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4252332 + ... + 4295068.

Almost surely, 2182645116900 is an apocalyptic number.

182645116900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

182645116900 is the 427370-th square number.

It is an amenable number.

182645116900 is an abundant number, since it is smaller than the sum of its proper divisors (213704060919).

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

182645116900 is an frugal number, since it uses more digits than its factorization.

182645116900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85488 (or 42744 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 182645116900 in words is "one hundred eighty-two billion, six hundred forty-five million, one hundred sixteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 42737 85474 170948 213685 427370 854740 1068425 2136850 4273700 1826451169 3652902338 7305804676 9132255845 18264511690 36529023380 45661279225 91322558450 182645116900