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47939906742 = 237131014312017
BaseRepresentation
bin101100101001011100…
…001110110010110110
311120202000101120221120
4230221130032302312
51241140104003432
634005010324410
73314665324650
oct545134166266
9146660346846
1047939906742
1119370911542
12935ab89706
1346a0015130
14246acb16d0
1513a8ab1c2c
hexb2970ecb6

47939906742 has 128 divisors (see below), whose sum is σ = 119510028288. Its totient is φ = 12483072000.

The previous prime is 47939906737. The next prime is 47939906747. The reversal of 47939906742 is 24760993974.

It is an interprime number because it is at equal distance from previous prime (47939906737) and next prime (47939906747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47939906747) 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 63 ways as a sum of consecutive naturals, for example, 23766918 + ... + 23768934.

It is an arithmetic number, because the mean of its divisors is an integer number (933672096).

Almost surely, 247939906742 is an apocalyptic number.

47939906742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47939906742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59755014144).

47939906742 is an abundant number, since it is smaller than the sum of its proper divisors (71570121546).

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

47939906742 is a wasteful number, since it uses less digits than its factorization.

47939906742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574.

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 47939906742 in words is "forty-seven billion, nine hundred thirty-nine million, nine hundred six thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 101 182 202 273 303 431 546 606 707 862 1293 1313 1414 2017 2121 2586 2626 3017 3939 4034 4242 5603 6034 6051 7878 9051 9191 11206 12102 14119 16809 18102 18382 26221 27573 28238 33618 39221 42357 43531 52442 55146 78442 78663 84714 87062 117663 130593 157326 183547 203717 235326 261186 304717 367094 407434 550641 565903 609434 611151 869327 914151 1101282 1131806 1222302 1426019 1697709 1738654 1828302 2607981 2648321 2852038 3395418 3961321 4278057 5215962 5296642 6085289 7922642 7944963 8556114 11301251 11883963 12170578 15889926 18255867 18538247 22602502 23767926 33903753 36511734 37076494 55614741 67807506 79108757 87802027 111229482 158217514 175604054 237326271 263406081 474652542 526812162 614614189 1141426351 1229228378 1843842567 2282852702 3424279053 3687685134 6848558106 7989984457 15979968914 23969953371 47939906742