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20167055244 = 22337216992243
BaseRepresentation
bin10010110010000011…
…001101011110001100
31221001110212112222000
4102302003031132030
5312300231231434
613133053552300
71312521066300
oct226203153614
957043775860
1020167055244
118609860106
123aa9aa5690
131b951987ab
14d9456dd00
157d0768b99
hex4b20cd78c

20167055244 has 144 divisors (see below), whose sum is σ = 60884208000. Its totient is φ = 5756056992.

The previous prime is 20167055203. The next prime is 20167055261. The reversal of 20167055244 is 44255076102.

It is a happy number.

20167055244 is a `hidden beast` number, since 2 + 0 + 1 + 67 + 0 + 552 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20167055199 and 20167055208.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8989987 + ... + 8992229.

It is an arithmetic number, because the mean of its divisors is an integer number (422807000).

Almost surely, 220167055244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20167055244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30442104000).

20167055244 is an abundant number, since it is smaller than the sum of its proper divisors (40717152756).

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

20167055244 is a wasteful number, since it uses less digits than its factorization.

20167055244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 20167055244 in words is "twenty billion, one hundred sixty-seven million, fifty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1699 1764 2243 2646 3398 4486 5097 5292 6729 6796 8972 10194 11893 13458 15291 15701 20187 20388 23786 26916 30582 31402 35679 40374 45873 47103 47572 60561 61164 62804 71358 80748 83251 91746 94206 107037 109907 121122 141309 142716 166502 183492 188412 214074 219814 242244 249753 282618 321111 329721 333004 423927 428148 439628 499506 565236 642222 659442 749259 847854 989163 999012 1284444 1318884 1498518 1695708 1978326 2247777 2967489 2997036 3810857 3956652 4495554 5934978 7621714 8991108 11432571 11869956 15243428 22865142 26675999 34297713 45730284 53351998 68595426 80027997 102893139 106703996 137190852 160055994 186731993 205786278 240083991 320111988 373463986 411572556 480167982 560195979 720251973 746927972 960335964 1120391958 1440503946 1680587937 2240783916 2881007892 3361175874 5041763811 6722351748 10083527622 20167055244