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42202020204 = 223229179225829
BaseRepresentation
bin100111010011011011…
…111011100101101100
311000221010112202100100
4213103123323211230
51142412204121304
631215355431100
73022543152531
oct472333734554
9130833482310
1042202020204
1116996a38453
128219455490
133c973405b6
142084c12d88
15116eea2439
hex9d36fb96c

42202020204 has 72 divisors (see below), whose sum is σ = 110972862000. Its totient is φ = 13506321024.

The previous prime is 42202020101. The next prime is 42202020239. The reversal of 42202020204 is 40202020224.

42202020204 is a `hidden beast` number, since 422 + 0 + 20 + 20 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 73962 + ... + 299790.

It is an arithmetic number, because the mean of its divisors is an integer number (1541289750).

Almost surely, 242202020204 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 42202020204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55486431000).

42202020204 is an abundant number, since it is smaller than the sum of its proper divisors (68770841796).

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

42202020204 is a wasteful number, since it uses less digits than its factorization.

42202020204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226047 (or 226042 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42202020204 its reverse (40202020224), we get a palindrome (82404040428).

The spelling of 42202020204 in words is "forty-two billion, two hundred two million, twenty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 179 261 348 358 522 537 716 1044 1074 1611 2148 3222 5191 6444 10382 15573 20764 31146 46719 62292 93438 186876 225829 451658 677487 903316 1354974 2032461 2709948 4064922 6549041 8129844 13098082 19647123 26196164 39294246 40423391 58941369 78588492 80846782 117882738 121270173 161693564 235765476 242540346 363810519 485080692 727621038 1172278339 1455242076 2344556678 3516835017 4689113356 7033670034 10550505051 14067340068 21101010102 42202020204