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541232384336 = 2472690347429
BaseRepresentation
bin1111110000000111111…
…01101100100101010000
31220202000102012212020022
413320003331230211100
532331420442244321
61052345544203012
754050146234400
oct7700375544520
91822012185208
10541232384336
11199598631096
1288a89769468
133c065622b27
141c2a5350800
15e12a900dab
hex7e03f6c950

541232384336 has 30 divisors (see below), whose sum is σ = 1219843908810. Its totient is φ = 231956735808.

The previous prime is 541232384333. The next prime is 541232384347. The reversal of 541232384336 is 633483232145.

It can be written as a sum of positive squares in only one way, i.e., 385586353936 + 155646030400 = 620956^2 + 394520^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541232384333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 345172931 + ... + 345174498.

It is an arithmetic number, because the mean of its divisors is an integer number (40661463627).

Almost surely, 2541232384336 is an apocalyptic number.

541232384336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

541232384336 is an abundant number, since it is smaller than the sum of its proper divisors (678611524474).

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

541232384336 is a wasteful number, since it uses less digits than its factorization.

541232384336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690347451 (or 690347438 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 44.

The spelling of 541232384336 in words is "five hundred forty-one billion, two hundred thirty-two million, three hundred eighty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 690347429 1380694858 2761389716 4832432003 5522779432 9664864006 11045558864 19329728012 33827024021 38659456024 67654048042 77318912048 135308096084 270616192168 541232384336