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166441340645460 = 22335437168016393
BaseRepresentation
bin100101110110000010100100…
…111111000011000001010100
3210211022122012012112100111000
4211312002210333003001110
5133303433331201123320
61345554032445543300
750025663403321266
oct4566024477030124
9724278165470430
10166441340645460
114904041574a921
1216801544274b30
1371b447441133a
142d15b37b69b36
1514397c4258c90
hex9760a4fc3054

166441340645460 has 96 divisors (see below), whose sum is σ = 529859771844480. Its totient is φ = 43352163138816.

The previous prime is 166441340645387. The next prime is 166441340645477. The reversal of 166441340645460 is 64546043144661.

166441340645460 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 4 + 1 + 34 + 0 + 64 + 546 + 0 = 666.

It is a super-2 number, since 2×1664413406454602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 166441340645397 and 166441340645406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3583984977 + ... + 3584031416.

It is an arithmetic number, because the mean of its divisors is an integer number (5519372623380).

Almost surely, 2166441340645460 is an apocalyptic number.

166441340645460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166441340645460 is an abundant number, since it is smaller than the sum of its proper divisors (363418431199020).

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

166441340645460 is a wasteful number, since it uses less digits than its factorization.

166441340645460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168016454 (or 7168016446 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 166441340645460 in words is "one hundred sixty-six trillion, four hundred forty-one billion, three hundred forty million, six hundred forty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 7740 11610 23220 7168016393 14336032786 21504049179 28672065572 35840081965 43008098358 64512147537 71680163930 86016196716 107520245895 129024295074 143360327860 193536442611 215040491790 258048590148 308224704899 322560737685 387072885222 430080983580 616449409798 645121475370 774145770444 924674114697 967682213055 1232898819596 1290242950740 1541123524495 1849348229394 1935364426110 2774022344091 3082247048990 3698696458788 3870728852220 4623370573485 5548044688182 6164494097980 8322067032273 9246741146970 11096089376364 13870111720455 16644134064546 18493482293940 27740223440910 33288268129092 41610335161365 55480446881820 83220670322730 166441340645460