Search a number
-
+
1831495073408 = 277111314294261
BaseRepresentation
bin11010101001101101100…
…111001111111010000000
320111002102001002122222222
4122221231213033322000
5220001400214322113
63521213251350212
7246215104155350
oct32515547177200
96432361078888
101831495073408
11646807249480
12256b57bb2368
1310392b296010
14649055d6b60
1532994a56e08
hex1aa6d9cfe80

1831495073408 has 128 divisors (see below), whose sum is σ = 4898929472640. Its totient is φ = 658679500800.

The previous prime is 1831495073383. The next prime is 1831495073437. The reversal of 1831495073408 is 8043705941381.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1831495073408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7019003 + ... + 7275258.

It is an arithmetic number, because the mean of its divisors is an integer number (38272886505).

Almost surely, 21831495073408 is an apocalyptic number.

It is an amenable number.

1831495073408 is an abundant number, since it is smaller than the sum of its proper divisors (3067434399232).

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

1831495073408 is a wasteful number, since it uses less digits than its factorization.

1831495073408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14294306 (or 14294294 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 1831495073408 in words is "one trillion, eight hundred thirty-one billion, four hundred ninety-five million, seventy-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 9856 11648 16016 18304 32032 64064 128128 14294261 28588522 57177044 100059827 114354088 157236871 185825393 200119654 228708176 314473742 371650786 400239308 457416352 628947484 743301572 800478616 914832704 1100658097 1257894968 1300777751 1486603144 1600957232 1829665408 2044079323 2201316194 2515789936 2601555502 2973206288 3201914464 4088158646 4402632388 5031579872 5203111004 5946412576 6403828928 8176317292 8805264776 10063159744 10406222008 11892825152 12807657856 14308555261 16352634584 17610529552 20126319488 20812444016 23785650304 28617110522 32705269168 35221059104 41624888032 57234221044 65410538336 70442118208 83249776064 114468442088 130821076672 140884236416 166499552128 228936884176 261642153344 457873768352 915747536704 1831495073408