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1991459363964 = 2237231757714419
BaseRepresentation
bin11100111110101100001…
…110100101110001111100
321001101022020010120211220
4130332230032211301330
5230112002044121324
64122510325313340
7263610135203400
oct34765416456174
97041266116756
101991459363964
116a86339915a4
12281b5b865850
13115a4200bc95
146c55c493100
1536c082ddb79
hex1cfac3a5c7c

1991459363964 has 144 divisors (see below), whose sum is σ = 5580880542720. Its totient is φ = 550523070720.

The previous prime is 1991459363947. The next prime is 1991459363987. The reversal of 1991459363964 is 4693639541991.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138106347 + ... + 138120765.

It is an arithmetic number, because the mean of its divisors is an integer number (38756114880).

Almost surely, 21991459363964 is an apocalyptic number.

1991459363964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1991459363964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790440271360).

1991459363964 is an abundant number, since it is smaller than the sum of its proper divisors (3589421178756).

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

1991459363964 is a wasteful number, since it uses less digits than its factorization.

1991459363964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22048 (or 22039 counting only the distinct ones).

The product of its digits is 170061120, while the sum is 69.

The spelling of 1991459363964 in words is "one trillion, nine hundred ninety-one billion, four hundred fifty-nine million, three hundred sixty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 2604 3038 4557 6076 7577 9114 14419 15154 18228 22731 28838 30308 43257 45462 53039 57676 86514 90924 100933 106078 159117 173028 201866 212156 234887 302799 318234 371273 403732 446989 469774 605598 636468 704661 706531 742546 893978 939548 1113819 1211196 1340967 1409322 1413062 1485092 1644209 1787956 2119593 2227638 2681934 2818644 2826124 3128923 3288418 4239186 4455276 4932627 5363868 6257846 6576836 8478372 9386769 9865254 11509463 12515692 18773538 19730508 21902461 23018926 34528389 37547076 43804922 46037852 65707383 69056778 87609844 109252763 131414766 138113556 218505526 262829532 327758289 437011052 655516578 764769341 1311033156 1529538682 2294308023 3059077364 3386835653 4588616046 5353385387 6773671306 9177232092 10160506959 10706770774 13547342612 16060156161 20321013918 21413541548 23707849571 32120312322 40642027836 47415699142 64240624644 71123548713 94831398284 142247097426 165954946997 284494194852 331909893994 497864840991 663819787988 995729681982 1991459363964