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84013700992 = 2713233337643
BaseRepresentation
bin100111000111110011…
…0110101011110000000
322000212001121012200021
41032033212311132000
52334030001412432
6102332333103224
76032636450524
oct1161746653600
9260761535607
1084013700992
11326a25a9041
1214348027b14
137bcb842810
1440cdc57d84
1522baa4d697
hex138f9b5780

84013700992 has 128 divisors (see below), whose sum is σ = 181838835360. Its totient is φ = 38434701312.

The previous prime is 84013700977. The next prime is 84013700993. The reversal of 84013700992 is 29900731048.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84013700993) 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 15 ways as a sum of consecutive naturals, for example, 130658623 + ... + 130659265.

Almost surely, 284013700992 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 84013700992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90919417680).

84013700992 is an abundant number, since it is smaller than the sum of its proper divisors (97825134368).

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

84013700992 is a wasteful number, since it uses less digits than its factorization.

84013700992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 84013700992 in words is "eighty-four billion, thirteen million, seven hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 233 337 416 466 643 674 832 932 1286 1348 1664 1864 2572 2696 3029 3728 4381 5144 5392 6058 7456 8359 8762 10288 10784 12116 14912 16718 17524 20576 21568 24232 29824 33436 35048 41152 43136 48464 66872 70096 78521 82304 96928 133744 140192 149819 157042 193856 216691 267488 280384 299638 314084 387712 433382 534976 560768 599276 628168 866764 1020773 1069952 1198552 1256336 1733528 1947647 2041546 2397104 2512672 2816983 3467056 3895294 4083092 4794208 5025344 5633966 6934112 7790588 8166184 9588416 10050688 11267932 13868224 15581176 16332368 19176832 22535864 27736448 31162352 32664736 45071728 50489003 62324704 65329472 90143456 100978006 124649408 130658944 180286912 201956012 249298816 360573824 403912024 656357039 807824048 1312714078 1615648096 2625428156 3231296192 5250856312 6462592384 10501712624 21003425248 42006850496 84013700992