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3871664332272 = 24321116553147661
BaseRepresentation
bin111000010101110001001…
…011010101110111110000
3111201010102221111021222100
4320111301023111313300
51001413132032113042
612122341255140400
7546501310555332
oct70256113256760
914633387437870
103871664332272
111262a66643a60
12526430674700
132211339927c9
14d5564d13452
156aa9e30224c
hex385712d5df0

3871664332272 has 120 divisors (see below), whose sum is σ = 11821102673328. Its totient is φ = 1173152793600.

The previous prime is 3871664332271. The next prime is 3871664332273. The reversal of 3871664332272 is 2722334661783.

3871664332272 is a `hidden beast` number, since 3 + 87 + 1 + 66 + 433 + 2 + 2 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (3871664332271) and next prime (3871664332273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3871664332271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26146122 + ... + 26293782.

Almost surely, 23871664332272 is an apocalyptic number.

It is an amenable number.

3871664332272 is an abundant number, since it is smaller than the sum of its proper divisors (7949438341056).

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

3871664332272 is a wasteful number, since it uses less digits than its factorization.

3871664332272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164239 (or 164230 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 3871664332272 in words is "three trillion, eight hundred seventy-one billion, six hundred sixty-four million, three hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 16553 33106 49659 66212 99318 132424 147661 148977 182083 198636 264848 295322 297954 364166 397272 442983 546249 590644 595908 728332 794544 885966 1092498 1181288 1191816 1328949 1456664 1624271 1638747 1771932 2184996 2362576 2383632 2657898 2913328 3248542 3277494 3543864 4369992 4872813 5315796 6497084 6554988 7087728 8739984 9745626 10631592 12994168 13109976 14618439 19491252 21263184 25988336 26219952 29236878 38982504 58473756 77965008 116947512 233895024 2444232533 4888465066 7332697599 9776930132 14665395198 19553860264 21998092797 26886557863 29330790396 39107720528 43996185594 53773115726 58661580792 80659673589 87992371188 107546231452 117323161584 161319347178 175984742376 215092462904 241979020767 322638694356 351969484752 430184925808 483958041534 645277388712 967916083068 1290554777424 1935832166136 3871664332272