Search a number
-
+
38538242046228 = 223171311442083597
BaseRepresentation
bin10001100001100111000100…
…01110100011100100010100
312001110012221100110002212110
420300303202032203210110
520022402304430434403
6213544120214151020
711055203364331221
oct1060634216434424
9161405840402773
1038538242046228
1111308a81a44071
1243a4b77352470
1318671a9c756a2
14973391b6a948
1546c704d59103
hex230ce23a3914

38538242046228 has 48 divisors (see below), whose sum is σ = 95938937607744. Its totient is φ = 11998135518720.

The previous prime is 38538242046113. The next prime is 38538242046229. The reversal of 38538242046228 is 82264024283583.

It is a happy number.

It is a super-2 number, since 2×385382420462282 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38538242046229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721015075 + ... + 721068522.

It is an arithmetic number, because the mean of its divisors is an integer number (1998727866828).

Almost surely, 238538242046228 is an apocalyptic number.

It is an amenable number.

38538242046228 is an abundant number, since it is smaller than the sum of its proper divisors (57400695561516).

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

38538242046228 is a wasteful number, since it uses less digits than its factorization.

38538242046228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442083752 (or 1442083750 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 57.

The spelling of 38538242046228 in words is "thirty-eight trillion, five hundred thirty-eight billion, two hundred forty-two million, forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 131 204 262 393 524 786 1572 2227 4454 6681 8908 13362 26724 1442083597 2884167194 4326250791 5768334388 8652501582 17305003164 24515421149 49030842298 73546263447 98061684596 147092526894 188912951207 294185053788 377825902414 566738853621 755651804828 1133477707242 2266955414484 3211520170519 6423040341038 9634560511557 12846080682076 19269121023114 38538242046228