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166820112972 = 223246750319727
BaseRepresentation
bin1001101101011101000…
…0001110101001001100
3120221120222110210011200
42123113100032221030
510213121422103342
6204345221545500
715023646364332
oct2332720165114
9527528423150
10166820112972
1164825671a67
12283b7875290
131296720b226
148107605b52
1545155c194c
hex26d740ea4c

166820112972 has 72 divisors (see below), whose sum is σ = 423448736256. Its totient is φ = 55374511584.

The previous prime is 166820112967. The next prime is 166820113007. The reversal of 166820112972 is 279211028661.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8446573 + ... + 8466299.

It is an arithmetic number, because the mean of its divisors is an integer number (5881232448).

Almost surely, 2166820112972 is an apocalyptic number.

166820112972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166820112972 is an abundant number, since it is smaller than the sum of its proper divisors (256628623284).

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

166820112972 is a wasteful number, since it uses less digits than its factorization.

166820112972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20707 (or 20702 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 166820112972 in words is "one hundred sixty-six billion, eight hundred twenty million, one hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 467 503 934 1006 1401 1509 1868 2012 2802 3018 4203 4527 5604 6036 8406 9054 16812 18108 19727 39454 59181 78908 118362 177543 234901 236724 355086 469802 704703 710172 939604 1409406 2114109 2818812 4228218 8456436 9212509 9922681 18425018 19845362 27637527 29768043 36850036 39690724 55275054 59536086 82912581 89304129 110550108 119072172 165825162 178608258 331650324 357216516 4633892027 9267784054 13901676081 18535568108 27803352162 41705028243 55606704324 83410056486 166820112972