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20454431205012 = 22373111236994661
BaseRepresentation
bin1001010011010011010110…
…00110110010011010010100
32200102102110110221120210120
410221221223012302122110
510140111133342030022
6111300345211551540
74210532605361460
oct451515306623224
980372413846716
1020454431205012
116576748195392
12236425775b5b0
13b54ac972c39c
14509ddd46d4a0
15257100173d5c
hex129a6b1b2694

20454431205012 has 96 divisors (see below), whose sum is σ = 56354816630784. Its totient is φ = 5650566134400.

The previous prime is 20454431204983. The next prime is 20454431205041. The reversal of 20454431205012 is 21050213445402.

It is an interprime number because it is at equal distance from previous prime (20454431204983) and next prime (20454431205041).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573039 + ... + 6421622.

It is an arithmetic number, because the mean of its divisors is an integer number (587029339904).

Almost surely, 220454431205012 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 20454431205012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28177408315392).

20454431205012 is an abundant number, since it is smaller than the sum of its proper divisors (35900385425772).

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

20454431205012 is a wasteful number, since it uses less digits than its factorization.

20454431205012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6995829 (or 6995827 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 20454431205012 in words is "twenty trillion, four hundred fifty-four billion, four hundred thirty-one million, two hundred five thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1123 1302 2246 2604 3369 4492 6738 7861 13476 15722 23583 31444 34813 47166 69626 94332 104439 139252 208878 243691 417756 487382 731073 974764 1462146 2924292 6994661 13989322 20983983 27978644 41967966 48962627 83935932 97925254 146887881 195850508 216834491 293775762 433668982 587551524 650503473 867337964 1301006946 1517841437 2602013892 3035682874 4553524311 6071365748 7855004303 9107048622 15710008606 18214097244 23565012909 31420017212 47130025818 54985030121 94260051636 109970060242 164955090363 219940120484 243505133393 329910180726 487010266786 659820361452 730515400179 974020533572 1461030800358 1704535933751 2922061600716 3409071867502 5113607801253 6818143735004 10227215602506 20454431205012