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312692197920 = 25351102759077
BaseRepresentation
bin1001000110011011110…
…10000100101000100000
31002220010001112111010120
410203031322010220200
520110343200313140
6355352051000240
731406542553664
oct4431572045040
91086101474116
10312692197920
11110680659473
1250727b99080
13236435004ab
14111c4a668a4
158201ab01d0
hex48cde84a20

312692197920 has 96 divisors (see below), whose sum is σ = 985086422208. Its totient is φ = 83375612928.

The previous prime is 312692197891. The next prime is 312692197927. The reversal of 312692197920 is 29791296213.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (312692197927) 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, 5263422 + ... + 5322498.

It is an arithmetic number, because the mean of its divisors is an integer number (10261316898).

Almost surely, 2312692197920 is an apocalyptic number.

312692197920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312692197920 is an abundant number, since it is smaller than the sum of its proper divisors (672394224288).

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

312692197920 is a wasteful number, since it uses less digits than its factorization.

312692197920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70122 (or 70114 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 312692197920 in words is "three hundred twelve billion, six hundred ninety-two million, one hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 11027 22054 33081 44108 55135 59077 66162 88216 110270 118154 132324 165405 176432 177231 220540 236308 264648 295385 330810 352864 354462 441080 472616 529296 590770 661620 708924 882160 886155 945232 1058592 1181540 1323240 1417848 1764320 1772310 1890464 2363080 2646480 2835696 3544620 4726160 5292960 5671392 7089240 9452320 14178480 28356960 651442079 1302884158 1954326237 2605768316 3257210395 3908652474 5211536632 6514420790 7817304948 9771631185 10423073264 13028841580 15634609896 19543262370 20846146528 26057683160 31269219792 39086524740 52115366320 62538439584 78173049480 104230732640 156346098960 312692197920