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3483138279690 = 233520176395891
BaseRepresentation
bin110010101011111011001…
…110000100100100001010
3110022222120220011211212000
4302223323032010210022
5424031431344422230
611224044233331430
7506435261606136
oct62537316044412
913288526154760
103483138279690
111123210832133
1248307bb66b76
131c35c6511884
14c08289543c6
156090edb6b60
hex32afb38490a

3483138279690 has 64 divisors (see below), whose sum is σ = 9292975240320. Its totient is φ = 928376225280.

The previous prime is 3483138279683. The next prime is 3483138279727. The reversal of 3483138279690 is 969728313843.

3483138279690 is a `hidden beast` number, since 3 + 4 + 83 + 1 + 382 + 7 + 96 + 90 = 666.

It is a super-2 number, since 2×34831382796902 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653356 + ... + 3742535.

It is an arithmetic number, because the mean of its divisors is an integer number (145202738130).

Almost surely, 23483138279690 is an apocalyptic number.

3483138279690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3483138279690 is an abundant number, since it is smaller than the sum of its proper divisors (5809836960630).

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

3483138279690 is a wasteful number, since it uses less digits than its factorization.

3483138279690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397924 (or 6397918 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3483138279690 in words is "three trillion, four hundred eighty-three billion, one hundred thirty-eight million, two hundred seventy-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2017 4034 6051 10085 12102 18153 20170 30255 36306 54459 60510 90765 108918 181530 272295 544590 6395891 12791782 19187673 31979455 38375346 57563019 63958910 95938365 115126038 172689057 191876730 287815095 345378114 575630190 863445285 1726890570 12900512147 25801024294 38701536441 64502560735 77403072882 116104609323 129005121470 193507682205 232209218646 348313827969 387015364410 580523046615 696627655938 1161046093230 1741569139845 3483138279690