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81173712864 = 25353128912377
BaseRepresentation
bin100101110011001010…
…1001000111111100000
321202112010122212100210
41023212111020333200
52312220432302424
6101142442214120
75602363113666
oct1134625107740
9252463585323
1081173712864
1131475498a12
1213894ab4340
13786835427a
143d009c4c36
1521a1565729
hex12e6548fe0

81173712864 has 96 divisors (see below), whose sum is σ = 217287372960. Its totient is φ = 26524639232.

The previous prime is 81173712859. The next prime is 81173712881. The reversal of 81173712864 is 46821737118.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6552244 + ... + 6564620.

It is an arithmetic number, because the mean of its divisors is an integer number (2263410135).

Almost surely, 281173712864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81173712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108643686480).

81173712864 is an abundant number, since it is smaller than the sum of its proper divisors (136113660096).

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

81173712864 is a wasteful number, since it uses less digits than its factorization.

81173712864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13732 (or 13724 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The spelling of 81173712864 in words is "eighty-one billion, one hundred seventy-three million, seven hundred twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1289 1696 2544 2578 3867 5088 5156 7734 10312 12377 15468 20624 24754 30936 37131 41248 49508 61872 68317 74262 99016 123744 136634 148524 198032 204951 273268 297048 396064 409902 546536 594096 655981 819804 1093072 1188192 1311962 1639608 1967943 2186144 2623924 3279216 3935886 5247848 6558432 7871772 10495696 15743544 15953953 20991392 31487088 31907906 47861859 62974176 63815812 95723718 127631624 191447436 255263248 382894872 510526496 765789744 845559509 1531579488 1691119018 2536678527 3382238036 5073357054 6764476072 10146714108 13528952144 20293428216 27057904288 40586856432 81173712864