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2166245671140 = 2232519633405167
BaseRepresentation
bin11111100001011110010…
…011011100000011100100
321200002110101101222002100
4133201132103130003210
5240442432342434030
64335054242412100
7312335405252025
oct37413623340344
97602411358070
102166245671140
11765777231131
122ab9bb361030
13129378754c95
1476bbda82c4c
153b537e2e360
hex1f85e4dc0e4

2166245671140 has 72 divisors (see below), whose sum is σ = 6916784434560. Its totient is φ = 547262063424.

The previous prime is 2166245671129. The next prime is 2166245671147. The reversal of 2166245671140 is 411765426612.

2166245671140 is a `hidden beast` number, since 2 + 1 + 6 + 624 + 5 + 6 + 7 + 1 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2166245671147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316699164 + ... + 316706003.

It is an arithmetic number, because the mean of its divisors is an integer number (96066450480).

Almost surely, 22166245671140 is an apocalyptic number.

2166245671140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166245671140 is an abundant number, since it is smaller than the sum of its proper divisors (4750538763420).

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

2166245671140 is a wasteful number, since it uses less digits than its factorization.

2166245671140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633405201 (or 633405196 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2166245671140 in words is "two trillion, one hundred sixty-six billion, two hundred forty-five million, six hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 633405167 1266810334 1900215501 2533620668 3167025835 3800431002 5700646503 6334051670 7600862004 9501077505 11401293006 12034698173 12668103340 19002155010 22802586012 24069396346 28503232515 36104094519 38004310020 48138792692 57006465030 60173490865 72208189038 108312283557 114012930060 120346981730 144416378076 180520472595 216624567114 240693963460 361040945190 433249134228 541561417785 722081890380 1083122835570 2166245671140