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2754432000666 = 232241953666269
BaseRepresentation
bin101000000101010000111…
…100001110001010011010
3100202022200002202101021200
4220011100330032022122
5330112034043010131
65505211341015030
7403000251463053
oct50052074161232
910668602671250
102754432000666
1197216a0691a5
123859b1854476
1316c984a29818
149745ad6d72a
154b9b0a852e6
hex28150f0e29a

2754432000666 has 48 divisors (see below), whose sum is σ = 5998996472040. Its totient is φ = 913373475840.

The previous prime is 2754432000653. The next prime is 2754432000689. The reversal of 2754432000666 is 6660002344572.

It can be written as a sum of positive squares in 4 ways, for example, as 2554067441025 + 200364559641 = 1598145^2 + 447621^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3800980 + ... + 4467248.

Almost surely, 22754432000666 is an apocalyptic number.

2754432000666 is an abundant number, since it is smaller than the sum of its proper divisors (3244564471374).

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

2754432000666 is a wasteful number, since it uses less digits than its factorization.

2754432000666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667471 (or 667468 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2754432000666 in words is "two trillion, seven hundred fifty-four billion, four hundred thirty-two million, six hundred sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 241 482 723 953 1446 1906 2169 2859 4338 5718 8577 17154 229673 459346 666269 689019 1332538 1378038 1998807 2067057 3997614 4134114 5996421 11992842 160570829 321141658 481712487 634954357 963424974 1269908714 1445137461 1904863071 2890274922 3809726142 5714589213 11429178426 153024000037 306048000074 459072000111 918144000222 1377216000333 2754432000666