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20006075577306 = 23713195932686141
BaseRepresentation
bin1001000110010000001110…
…00001110011001111011010
32121211120011210201210220110
410203020013001303033122
510110234420321433211
6110314355250505150
74133251126413150
oct443100701631732
977746153653813
1020006075577306
116413590119205
1222b138a2951b6
13b21745c21ab0
144d24291013d0
1524a60d44bea6
hex1232070733da

20006075577306 has 128 divisors (see below), whose sum is σ = 52716209817600. Its totient is φ = 4913903543040.

The previous prime is 20006075577221. The next prime is 20006075577331. The reversal of 20006075577306 is 60377557060002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15731005 + ... + 16955136.

It is an arithmetic number, because the mean of its divisors is an integer number (411845389200).

Almost surely, 220006075577306 is an apocalyptic number.

20006075577306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20006075577306 is an abundant number, since it is smaller than the sum of its proper divisors (32710134240294).

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

20006075577306 is a wasteful number, since it uses less digits than its factorization.

20006075577306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32686244.

The product of its (nonzero) digits is 1852200, while the sum is 48.

The spelling of 20006075577306 in words is "twenty trillion, six billion, seventy-five million, five hundred seventy-seven thousand, three hundred six".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 59 78 91 114 118 133 177 182 247 266 273 354 399 413 494 546 741 767 798 826 1121 1239 1482 1534 1729 2242 2301 2478 3363 3458 4602 5187 5369 6726 7847 10374 10738 14573 15694 16107 23541 29146 32214 43719 47082 87438 102011 204022 306033 612066 32686141 65372282 98058423 196116846 228802987 424919833 457605974 621036679 686408961 849839666 1242073358 1274759499 1372817922 1863110037 1928482319 2549518998 2974438831 3726220074 3856964638 4347256753 5785446957 5948877662 8073476827 8694513506 8923316493 11570893914 13041770259 13499376233 16146953654 17846632986 24220430481 25070270147 26083540518 26998752466 36641164061 40498128699 48440860962 50140540294 56514337789 73282328122 75210810441 80996257398 109923492183 113028675578 150421620882 169543013367 175491891029 219846984366 256488148427 339086026734 350983782058 476335132793 512976296854 526475673087 769464445281 952670265586 1052951346174 1429005398379 1538928890562 2858010796758 3334345929551 6668691859102 10003037788653 20006075577306