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166412223450 = 2325211136724593
BaseRepresentation
bin1001101011111011110…
…0010000001111011010
3120220112112221211221100
42122332330100033122
510211303012122300
6204240531252230
715010564363134
oct2327674201732
9526475854840
10166412223450
11646363a8590
122830314a076
1312900866895
1480a938a054
1544de8a0700
hex26bef103da

166412223450 has 144 divisors (see below), whose sum is σ = 488115740736. Its totient is φ = 40311206400.

The previous prime is 166412223379. The next prime is 166412223553. The reversal of 166412223450 is 54322214661.

166412223450 is a `hidden beast` number, since 1 + 6 + 6 + 412 + 2 + 234 + 5 + 0 = 666.

It is a super-2 number, since 2×1664122234502 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6754354 + ... + 6778946.

It is an arithmetic number, because the mean of its divisors is an integer number (3389692644).

Almost surely, 2166412223450 is an apocalyptic number.

166412223450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166412223450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244057870368).

166412223450 is an abundant number, since it is smaller than the sum of its proper divisors (321703517286).

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

166412223450 is a wasteful number, since it uses less digits than its factorization.

166412223450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25989 (or 25981 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 166412223450 in words is "one hundred sixty-six billion, four hundred twelve million, two hundred twenty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1367 1650 2475 2734 4101 4950 6835 8202 12303 13670 15037 20505 24593 24606 30074 34175 41010 45111 49186 61515 68350 73779 75185 90222 102525 122965 123030 135333 147558 150370 205050 221337 225555 245930 270523 270666 307575 368895 375925 442674 451110 541046 614825 615150 676665 737790 751850 811569 1106685 1127775 1229650 1352615 1353330 1623138 1844475 2213370 2255550 2434707 2705230 3383325 3688950 4057845 4869414 5533425 6763075 6766650 8115690 11066850 12173535 13526150 20289225 24347070 33618631 40578450 60867675 67237262 100855893 121735350 168093155 201711786 302567679 336186310 369804941 504279465 605135358 739609882 840465775 1008558930 1109414823 1512838395 1680931550 1849024705 2218829646 2521397325 3025676790 3328244469 3698049410 5042794650 5547074115 6656488938 7564191975 9245123525 11094148230 15128383950 16641222345 18490247050 27735370575 33282444690 55470741150 83206111725 166412223450