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166900670712 = 23327159355057
BaseRepresentation
bin1001101101110000001…
…1100010000011111000
3120221210121001112121200
42123130003202003320
510213303032430322
6204401220334200
715025645202466
oct2333403420370
9527717045550
10166900670712
1164867094206
122841a844360
131297ab05429
1481141b5836
15451c6d58ac
hex26dc0e20f8

166900670712 has 96 divisors (see below), whose sum is σ = 459170506080. Its totient is φ = 54756495360.

The previous prime is 166900670711. The next prime is 166900670773. The reversal of 166900670712 is 217076009661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166900670711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3003888 + ... + 3058944.

It is an arithmetic number, because the mean of its divisors is an integer number (4783026105).

Almost surely, 2166900670712 is an apocalyptic number.

166900670712 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 166900670712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229585253040).

166900670712 is an abundant number, since it is smaller than the sum of its proper divisors (292269835368).

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

166900670712 is a wasteful number, since it uses less digits than its factorization.

166900670712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55733 (or 55726 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 166900670712 in words is "one hundred sixty-six billion, nine hundred million, six hundred seventy thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 593 639 852 1186 1278 1704 1779 2372 2556 3558 4744 5112 5337 7116 10674 14232 21348 42103 42696 55057 84206 110114 126309 165171 168412 220228 252618 330342 336824 378927 440456 495513 505236 660684 757854 991026 1010472 1321368 1515708 1982052 3031416 3909047 3964104 7818094 11727141 15636188 23454282 31272376 32648801 35181423 46908564 65297602 70362846 93817128 97946403 130595204 140725692 195892806 261190408 281451384 293839209 391785612 587678418 783571224 1175356836 2318064871 2350713672 4636129742 6954194613 9272259484 13908389226 18544518968 20862583839 27816778452 41725167678 55633556904 83450335356 166900670712