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54570000681 = 32719179257991
BaseRepresentation
bin110010110100101000…
…000010000100101001
312012212002002021000100
4302310220002010221
51343224410010211
641022532300013
73641203231620
oct626450020451
9165762067010
1054570000681
1121163385219
12a6ab471609
1351b87b5441
1428d965c6b7
151645bae156
hexcb4a02129

54570000681 has 96 divisors (see below), whose sum is σ = 95822438400. Its totient is φ = 29232783360.

The previous prime is 54570000649. The next prime is 54570000703. The reversal of 54570000681 is 18600007545.

54570000681 is a `hidden beast` number, since 5 + 4 + 570 + 0 + 0 + 0 + 6 + 81 = 666.

It is not a de Polignac number, because 54570000681 - 25 = 54570000649 is a prime.

It is a super-2 number, since 2×545700006812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54570005681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55065096 + ... + 55066086.

It is an arithmetic number, because the mean of its divisors is an integer number (998150400).

Almost surely, 254570000681 is an apocalyptic number.

54570000681 is the 124866-th nonagonal number.

It is an amenable number.

54570000681 is a deficient number, since it is larger than the sum of its proper divisors (41252437719).

54570000681 is a wasteful number, since it uses less digits than its factorization.

54570000681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 54570000681 in words is "fifty-four billion, five hundred seventy million, six hundred eighty-one", and thus it is an aban number.

Divisors: 1 3 7 9 19 21 57 63 133 171 179 257 399 537 771 991 1197 1253 1611 1799 2313 2973 3401 3759 4883 5397 6937 8919 10203 11277 14649 16191 18829 20811 23807 30609 34181 43947 46003 56487 62433 71421 102543 131803 138009 169461 177389 214263 254687 307629 322021 395409 414027 532167 764061 874057 966063 1186227 1241723 1596501 1782809 2292183 2622171 2898189 3370391 3725169 4839053 5348427 6118399 7866513 10111173 11175507 14517159 16045281 18355197 23592737 30333519 33873371 43551477 45588973 55065591 70778211 101620113 136766919 212334633 304860339 319122811 410300757 866190487 957368433 2598571461 2872105299 6063333409 7795714383 18190000227 54570000681