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6542166060 = 22325281912893
BaseRepresentation
bin1100001011111000…
…11000100000101100
3121212221020110200200
412011330120200230
5101344243303220
63001101153500
7321056331303
oct60574304054
917787213620
106542166060
112857978211
121326b5b890
138034c55a1
14460c1d43a
1528452e890
hex185f1882c

6542166060 has 72 divisors (see below), whose sum is σ = 19853149680. Its totient is φ = 1743823488.

The previous prime is 6542166041. The next prime is 6542166133. The reversal of 6542166060 is 606612456.

It is a happy number.

6542166060 is a `hidden beast` number, since 6 + 5 + 42 + 1 + 6 + 606 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 500974 + ... + 513866.

It is an arithmetic number, because the mean of its divisors is an integer number (275738190).

Almost surely, 26542166060 is an apocalyptic number.

6542166060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6542166060 is an abundant number, since it is smaller than the sum of its proper divisors (13310983620).

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

6542166060 is a wasteful number, since it uses less digits than its factorization.

6542166060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15727 (or 15722 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6542166060 is about 80883.6575582484. The cubic root of 6542166060 is about 1870.2824037071.

The spelling of 6542166060 in words is "six billion, five hundred forty-two million, one hundred sixty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2819 5638 8457 11276 12893 14095 16914 25371 25786 28190 33828 38679 42285 50742 51572 56380 64465 77358 84570 101484 116037 126855 128930 154716 169140 193395 232074 253710 257860 386790 464148 507420 580185 773580 1160370 2320740 36345367 72690734 109036101 145381468 181726835 218072202 327108303 363453670 436144404 545180505 654216606 726907340 1090361010 1308433212 1635541515 2180722020 3271083030 6542166060