Search a number
-
+
19771668609888 = 2531326329192553
BaseRepresentation
bin1000111111011011100110…
…10010001011101101100000
32121000011010120200002020110
410133231303102023231200
510042414334131004023
6110014551300011320
74110312244152606
oct437556322135540
977004116602213
1019771668609888
116333132536148
122273a6b990b40
13b055ca508400
144c4d4d5a5876
1524448e53aa93
hex11fb7348bb60

19771668609888 has 144 divisors (see below), whose sum is σ = 56209262271120. Its totient is φ = 6082597527552.

The previous prime is 19771668609871. The next prime is 19771668609899. The reversal of 19771668609888 is 88890686617791.

It is a self number, because there is not a number n which added to its sum of digits gives 19771668609888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102585420 + ... + 102777972.

It is an arithmetic number, because the mean of its divisors is an integer number (390342099105).

Almost surely, 219771668609888 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 19771668609888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28104631135560).

19771668609888 is an abundant number, since it is smaller than the sum of its proper divisors (36437593661232).

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

19771668609888 is a wasteful number, since it uses less digits than its factorization.

19771668609888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198921 (or 198900 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 84.

The spelling of 19771668609888 in words is "nineteen trillion, seven hundred seventy-one billion, six hundred sixty-eight million, six hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 6329 8112 12658 16224 18987 25316 37974 50632 75948 82277 101264 151896 164554 192553 202528 246831 303792 329108 385106 493662 577659 607584 658216 770212 987324 1069601 1155318 1316432 1540424 1974648 2139202 2310636 2503189 2632864 3080848 3208803 3949296 4278404 4621272 5006378 6161696 6417606 7509567 7898592 8556808 9242544 10012756 12835212 15019134 17113616 18485088 20025512 25670424 30038268 32541457 34227232 40051024 51340848 60076536 65082914 80102048 97624371 102681696 120153072 130165828 195248742 240306144 260331656 390497484 520663312 780994968 1041326624 1218667937 1561989936 2437335874 3123979872 3656003811 4874671748 7312007622 9749343496 14624015244 15842683181 19498686992 29248030488 31685366362 38997373984 47528049543 58496060976 63370732724 95056099086 116992121952 126741465448 190112198172 205954881353 253482930896 380224396344 411909762706 506965861792 617864644059 760448792688 823819525412 1235729288118 1520897585376 1647639050824 2471458576236 3295278101648 4942917152472 6590556203296 9885834304944 19771668609888