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37006166242134 = 232231153206337579
BaseRepresentation
bin10000110101000001010110…
…11001001011001101010110
311212000202101100112021212200
420122200223121023031112
514322302112024222014
6210412221552425330
710536415204012635
oct1032405331131526
9155022340467780
1037006166242134
1110878255105381
124198062248246
1317858883cb35b
1491d17250751c
154429369eca09
hex21a82b64b356

37006166242134 has 96 divisors (see below), whose sum is σ = 83781498977280. Its totient is φ = 11782806165504.

The previous prime is 37006166242091. The next prime is 37006166242151. The reversal of 37006166242134 is 43124266160073.

37006166242134 is a `hidden beast` number, since 3 + 7 + 0 + 0 + 6 + 1 + 6 + 624 + 2 + 13 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 37006166242134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 984737757 + ... + 984775335.

It is an arithmetic number, because the mean of its divisors is an integer number (872723947680).

Almost surely, 237006166242134 is an apocalyptic number.

37006166242134 is an abundant number, since it is smaller than the sum of its proper divisors (46775332735146).

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

37006166242134 is a wasteful number, since it uses less digits than its factorization.

37006166242134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40826 (or 40823 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 37006166242134 in words is "thirty-seven trillion, six billion, one hundred sixty-six million, two hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 1153 2063 2306 3459 4126 6189 6918 10377 12378 18567 20754 26519 37134 37579 47449 53038 75158 79557 94898 112737 142347 159114 225474 238671 284694 338211 427041 477342 676422 854082 864317 1728634 2378639 2592951 4757278 5185902 7135917 7778853 14271834 15557706 21407751 42815502 43328587 54708697 77525477 86657174 109417394 129985761 155050954 164126091 232576431 259971522 328252182 389957283 465152862 492378273 697729293 779914566 984756546 996557501 1395458586 1783085971 1993115002 2989672503 3566171942 5349257913 5979345006 8969017509 10698515826 16047773739 17938035018 32095547478 89386874981 178773749962 268160624943 536321249886 804481874829 1608963749658 2055898124563 4111796249126 6167694373689 12335388747378 18503083121067 37006166242134