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4271159031468 = 2237193277951107
BaseRepresentation
bin111110001001110100111…
…010101011011010101100
3120010022121102020201120120
4332021310322223122230
51024434313203001333
613030050545044540
7620403205514220
oct76116472533254
916108542221516
104271159031468
1113a742aa1938a
1258b942626750
1324c9cb711094
1410aa21d40780
1576181686db3
hex3e274eab6ac

4271159031468 has 96 divisors (see below), whose sum is σ = 11490115090944. Its totient is φ = 1209624219648.

The previous prime is 4271159031467. The next prime is 4271159031509. The reversal of 4271159031468 is 8641309511724.

It is a self number, because there is not a number n which added to its sum of digits gives 4271159031468.

It is not an unprimeable number, because it can be changed into a prime (4271159031467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4015171 + ... + 4966277.

It is an arithmetic number, because the mean of its divisors is an integer number (119688698864).

It is a 1-persistent number, because it is pandigital, but 2⋅4271159031468 = 8542318062936 is not.

Almost surely, 24271159031468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4271159031468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745057545472).

4271159031468 is an abundant number, since it is smaller than the sum of its proper divisors (7218956059476).

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

4271159031468 is a wasteful number, since it uses less digits than its factorization.

4271159031468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951591 (or 951589 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 4271159031468 in words is "four trillion, two hundred seventy-one billion, one hundred fifty-nine million, thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 277 386 554 579 772 831 1108 1158 1351 1662 1939 2316 2702 3324 3878 4053 5404 5817 7756 8106 11634 16212 23268 53461 106922 160383 213844 320766 374227 641532 748454 951107 1122681 1496908 1902214 2245362 2853321 3804428 4490724 5706642 6657749 11413284 13315498 19973247 26630996 39946494 79892988 183563651 263456639 367127302 526913278 550690953 734254604 790369917 1053826556 1101381906 1284945557 1580739834 1844196473 2202763812 2569891114 3161479668 3688392946 3854836671 5139782228 5532589419 7376785892 7709673342 11065178838 15419346684 22130357676 50847131327 101694262654 152541393981 203388525308 305082787962 355929919289 610165575924 711859838578 1067789757867 1423719677156 2135579515734 4271159031468