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41206427156682 = 2346758723092801
BaseRepresentation
bin10010101111010000111100…
…11101000000000011001010
312101220021222202110111210000
421113220132131000003022
520400111230323003212
6223345545445103430
711452031451503634
oct1127503635000312
9171807882414700
1041206427156682
11121476029760a7
1247560b90b7b76
1319cb9985aa558
14a2658a445a54
154b6d18cba1dc
hex257a1e7400ca

41206427156682 has 160 divisors (see below), whose sum is σ = 93944849423040. Its totient is φ = 13496748249600.

The previous prime is 41206427156677. The next prime is 41206427156701. The reversal of 41206427156682 is 28665172460214.

41206427156682 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 6 + 4 + 2 + 71 + 566 + 8 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14711325682 + ... + 14711328482.

It is an arithmetic number, because the mean of its divisors is an integer number (587155308894).

Almost surely, 241206427156682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41206427156682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46972424711520).

41206427156682 is an abundant number, since it is smaller than the sum of its proper divisors (52738422266358).

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

41206427156682 is a wasteful number, since it uses less digits than its factorization.

41206427156682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 41206427156682 in words is "forty-one trillion, two hundred six billion, four hundred twenty-seven million, one hundred fifty-six thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 67 81 134 162 201 402 587 603 1174 1206 1761 1809 2309 2801 3522 3618 4618 5283 5427 5602 6927 8403 10566 10854 13854 15849 16806 20781 25209 31698 39329 41562 47547 50418 62343 75627 78658 95094 117987 124686 151254 154703 187029 187667 226881 235974 309406 353961 374058 375334 453762 464109 563001 707922 928218 1061883 1126002 1355383 1392327 1644187 1689003 2123766 2710766 2784654 3185649 3288374 3378006 4066149 4176981 4932561 5067009 6371298 6467509 8132298 8353962 9865122 10134018 12198447 12530943 12935018 14797683 15201027 19402527 24396894 25061886 29595366 30402054 36595341 38805054 44393049 58207581 73190682 88786098 90810661 109786023 110160529 116415162 133179147 174622743 181621322 219572046 220321058 266358294 272431983 330481587 349245486 433323103 523868229 544863966 660963174 817295949 866646206 991444761 1047736458 1299969309 1634591898 1982889522 2451887847 2599938618 2974334283 3796427783 3899907927 4903775694 5948668566 7355663541 7592855566 7799815854 8923002849 11389283349 11699723781 14711327082 17846005698 22778566698 23399447562 34167850047 35099171343 68335700094 70198342686 102503550141 205007100282 254360661461 307510650423 508721322922 615021300846 763081984383 1526163968766 2289245953149 4578491906298 6867737859447 13735475718894 20603213578341 41206427156682