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4498168129936 = 2413569190119993
BaseRepresentation
bin100000101110100111110…
…1101101010100110010000
3120221000120001220202212021
41001131033231222212100
51042144222020124221
613322232505541224
7642660541150435
oct101351755524620
916830501822767
104498168129936
111484731707a68
126079374a4814
13268238578210
141179d9151b8c
157c01ad8c041
hex4174fb6a990

4498168129936 has 80 divisors (see below), whose sum is σ = 9407512099440. Its totient is φ = 2071235174400.

The previous prime is 4498168129933. The next prime is 4498168129963. The reversal of 4498168129936 is 6399218618944.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1346193985536 + 3151974144400 = 1160256^2 + 1775380^2 .

It is not an unprimeable number, because it can be changed into a prime (4498168129933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224977156 + ... + 224997148.

It is an arithmetic number, because the mean of its divisors is an integer number (117593901243).

Almost surely, 24498168129936 is an apocalyptic number.

It is an amenable number.

4498168129936 is an abundant number, since it is smaller than the sum of its proper divisors (4909343969504).

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

4498168129936 is a wasteful number, since it uses less digits than its factorization.

4498168129936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22484 (or 22478 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 70.

The spelling of 4498168129936 in words is "four trillion, four hundred ninety-eight billion, one hundred sixty-eight million, one hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 569 1138 1901 2276 3802 4552 7397 7604 9104 14794 15208 19993 24713 29588 30416 39986 49426 59176 79972 98852 118352 159944 197704 259909 319888 395408 519818 1039636 1081669 2079272 2163338 4158544 4326676 8653352 11376017 14061697 17306704 22752034 28123394 38006693 45504068 56246788 76013386 91008136 112493576 147888221 152026772 182016272 224987152 295776442 304053544 494087009 591552884 608107088 988174018 1183105768 1976348036 2366211536 3952696072 7905392144 21625808317 43251616634 86503233268 173006466536 281135508121 346012933072 562271016242 1124542032484 2249084064968 4498168129936