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20164672194360 = 23351373767325607
BaseRepresentation
bin1001001010110111101000…
…00111111000011100111000
32122101201112200020201102020
410211123310013320130320
510120334222040204420
6110515304510434440
74150564242413661
oct445336407703470
978351480221366
1020164672194360
116474875841a51
12231806bb02a20
13b3369c4c71b5
144d9d924a2368
1524e7e1ac7340
hex1256f41f8738

20164672194360 has 128 divisors (see below), whose sum is σ = 60951942097920. Its totient is φ = 5336562516992.

The previous prime is 20164672194301. The next prime is 20164672194367. The reversal of 20164672194360 is 6349127646102.

It is a super-2 number, since 2×201646721943602 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20164672194367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61766677 + ... + 62092283.

It is an arithmetic number, because the mean of its divisors is an integer number (476187047640).

Almost surely, 220164672194360 is an apocalyptic number.

20164672194360 is a gapful number since it is divisible by the number (20) 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 20164672194360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30475971048960).

20164672194360 is an abundant number, since it is smaller than the sum of its proper divisors (40787269903560).

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

20164672194360 is a wasteful number, since it uses less digits than its factorization.

20164672194360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329525 (or 329521 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 20164672194360 in words is "twenty trillion, one hundred sixty-four billion, six hundred seventy-two million, one hundred ninety-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 3767 4110 5480 7534 8220 11301 15068 16440 18835 22602 30136 37670 45204 56505 75340 90408 113010 150680 226020 325607 452040 516079 651214 976821 1032158 1302428 1548237 1628035 1953642 2064316 2580395 2604856 3096474 3256070 3907284 4128632 4884105 5160790 6192948 6512140 7741185 7814568 9768210 10321580 12385896 13024280 15482370 19536420 20643160 30964740 39072840 44608159 61929480 89216318 133824477 178432636 223040795 267648954 356865272 446081590 535297908 669122385 892163180 1070595816 1226561569 1338244770 1784326360 2453123138 2676489540 3679684707 4906246276 5352979080 6132807845 7359369414 9812492552 12265615690 14718738828 18398423535 24531231380 29437477656 36796847070 49062462760 73593694140 147187388280 168038934953 336077869906 504116804859 672155739812 840194674765 1008233609718 1344311479624 1680389349530 2016467219436 2520584024295 3360778699060 4032934438872 5041168048590 6721557398120 10082336097180 20164672194360