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166686993585552 = 243114717921374807
BaseRepresentation
bin100101111001100111010111…
…000010101001010110010000
3210212012010021011212200110110
4211321213113002221112100
5133321444430324214202
61350302540413001320
750052511043004066
oct4571472702512620
9725163234780413
10166686993585552
11491256143a3680
1216841080a83240
1372016929b491b
142d2399d0c4036
151440da05e526c
hex9799d70a9590

166686993585552 has 160 divisors (see below), whose sum is σ = 479777076301824. Its totient is φ = 49433613107200.

The previous prime is 166686993585481. The next prime is 166686993585577. The reversal of 166686993585552 is 255585399686661.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444540133 + ... + 444914939.

Almost surely, 2166686993585552 is an apocalyptic number.

166686993585552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166686993585552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239888538150912).

166686993585552 is an abundant number, since it is smaller than the sum of its proper divisors (313090082716272).

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

166686993585552 is a wasteful number, since it uses less digits than its factorization.

166686993585552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392797 (or 392791 counting only the distinct ones).

The product of its digits is 25194240000, while the sum is 84.

The spelling of 166686993585552 in words is "one hundred sixty-six trillion, six hundred eighty-six billion, nine hundred ninety-three million, five hundred eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 188 264 282 376 517 528 564 752 1034 1128 1551 2068 2256 3102 4136 6204 8272 12408 17921 24816 35842 53763 71684 107526 143368 197131 215052 286736 374807 394262 430104 591393 749614 788524 842287 860208 1124421 1182786 1499228 1577048 1684574 2248842 2365572 2526861 2998456 3154096 3369148 4122877 4497684 4731144 5053722 5996912 6738296 8245754 8995368 9265157 9462288 10107444 12368631 13476592 16491508 17615929 17990736 18530314 20214888 24737262 27795471 32983016 35231858 37060628 40429776 49474524 52847787 55590942 65966032 70463716 74121256 98949048 105695574 111181884 140927432 148242512 193775219 197898096 211391148 222363768 281854864 387550438 422782296 444727536 581325657 775100876 845564592 1162651314 1550201752 2325302628 3100403504 4650605256 6716916247 9301210512 13433832494 20150748741 26867664988 40301497482 53735329976 73886078717 80602994964 107470659952 147772157434 161205989928 221658236151 295544314868 315695063609 322411979856 443316472302 591088629736 631390127218 886632944604 947085190827 1182177259472 1262780254436 1773265889208 1894170381654 2525560508872 3472645699699 3546531778416 3788340763308 5051121017744 6945291399398 7576681526616 10417937099097 13890582798796 15153363053232 20835874198194 27781165597592 41671748396388 55562331195184 83343496792776 166686993585552