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3871000206054 = 2332915165924841
BaseRepresentation
bin111000010101001001100…
…101111001101011100110
3111201001201122211012002000
4320111021211321223212
51001410302023043204
612122151332430130
7546445664565312
oct70251145715346
914631648735060
103871000206054
111262755777113
12526286178346
13221059203b07
14d5500a36b42
156aa60d69039
hex38549979ae6

3871000206054 has 128 divisors (see below), whose sum is σ = 8971737984000. Its totient is φ = 1235660832000.

The previous prime is 3871000206049. The next prime is 3871000206077. The reversal of 3871000206054 is 4506020001783.

3871000206054 is a `hidden beast` number, since 38 + 7 + 10 + 0 + 0 + 2 + 0 + 605 + 4 = 666.

It is a super-2 number, since 2×38710002060542 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155818674 + ... + 155843514.

It is an arithmetic number, because the mean of its divisors is an integer number (70091703000).

Almost surely, 23871000206054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3871000206054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485868992000).

3871000206054 is an abundant number, since it is smaller than the sum of its proper divisors (5100737777946).

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

3871000206054 is a wasteful number, since it uses less digits than its factorization.

3871000206054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25691 (or 25685 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 3871000206054 in words is "three trillion, eight hundred seventy-one billion, two hundred six thousand, fifty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 151 174 261 302 453 522 659 783 906 1318 1359 1566 1977 2718 3954 4077 4379 5931 8154 8758 11862 13137 17793 19111 24841 26274 35586 38222 39411 49682 57333 74523 78822 99509 114666 118233 149046 171999 199018 223569 236466 298527 343998 447138 515997 597054 670707 720389 895581 1031994 1341414 1440778 1791162 2161167 2686743 2885761 3750991 4322334 5373486 5771522 6483501 7501982 8657283 11252973 12967002 16370219 17314566 19450503 22505946 25971849 32740438 33758919 38901006 49110657 51943698 67517838 77915547 98221314 101276757 108778739 147331971 155831094 202553514 217557478 294663942 326336217 441995913 474736351 652672434 883991826 949472702 979008651 1424209053 1958017302 2471903069 2848418106 2937025953 4272627159 4943806138 5874051906 7415709207 8545254318 12817881477 14831418414 22247127621 25635762954 44494255242 66741382863 71685189001 133482765726 143370378002 215055567003 430111134006 645166701009 1290333402018 1935500103027 3871000206054