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201324117888 = 2732174760519
BaseRepresentation
bin1011101101111111011…
…0100011111110000000
3201020122121211211202200
42323133312203332000
511244302433233023
6232253110313200
720354666524005
oct2733766437600
9636577754680
10201324117888
1178421241603
1233027058800
1315ca574c99a
149a5bcbd8ac
15538482a743
hex2edfda3f80

201324117888 has 48 divisors (see below), whose sum is σ = 579331123800. Its totient is φ = 67108038912.

The previous prime is 201324117887. The next prime is 201324117893. The reversal of 201324117888 is 888711423102.

201324117888 is a `hidden beast` number, since 20 + 132 + 411 + 7 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201324117881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87379108 + ... + 87381411.

Almost surely, 2201324117888 is an apocalyptic number.

It is an amenable number.

201324117888 is an abundant number, since it is smaller than the sum of its proper divisors (378007005912).

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

201324117888 is a wasteful number, since it uses less digits than its factorization.

201324117888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174760539 (or 174760524 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 201324117888 in words is "two hundred one billion, three hundred twenty-four million, one hundred seventeen thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 174760519 349521038 524281557 699042076 1048563114 1398084152 1572844671 2097126228 2796168304 3145689342 4194252456 5592336608 6291378684 8388504912 11184673216 12582757368 16777009824 22369346432 25165514736 33554019648 50331029472 67108039296 100662058944 201324117888