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81716557439440 = 24571153250295753
BaseRepresentation
bin10010100101001000011110…
…011000001110000111010000
3101201100000201101111220210201
4102211020132120032013100
541202321002201030230
6445444022423504544
723132553320451160
oct2245103630160720
9351300641456721
1081716557439440
1124045885367a80
1291b92718b8154
133679ab8997621
1416271612dc5a0
1596a97db605ca
hex4a521e60e1d0

81716557439440 has 160 divisors (see below), whose sum is σ = 241341173104896. Its totient is φ = 24989527879680.

The previous prime is 81716557439417. The next prime is 81716557439459. The reversal of 81716557439440 is 4493475561718.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 124821397 + ... + 125474356.

Almost surely, 281716557439440 is an apocalyptic number.

81716557439440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

81716557439440 is an abundant number, since it is smaller than the sum of its proper divisors (159624615665456).

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

81716557439440 is a wasteful number, since it uses less digits than its factorization.

81716557439440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250295837 (or 250295831 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 64.

The spelling of 81716557439440 in words is "eighty-one trillion, seven hundred sixteen billion, five hundred fifty-seven million, four hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 53 55 56 70 77 80 88 106 110 112 140 154 176 212 220 265 280 308 371 385 424 440 530 560 583 616 742 770 848 880 1060 1166 1232 1484 1540 1855 2120 2332 2915 2968 3080 3710 4081 4240 4664 5830 5936 6160 7420 8162 9328 11660 14840 16324 20405 23320 29680 32648 40810 46640 65296 81620 163240 326480 250295753 500591506 1001183012 1251478765 1752070271 2002366024 2502957530 2753253283 3504140542 4004732048 5005915060 5506506566 7008281084 8760351355 10011830120 11013013132 13265674909 13766266415 14016562168 17520702710 19272772981 20023660240 22026026264 26531349818 27532532830 28033124336 35041405420 38545545962 44052052528 53062699636 55065065660 66328374545 70082810840 77091091924 92859724363 96363864905 106125399272 110130131320 132656749090 140165621680 145922423999 154182183848 185719448726 192727729810 212250798544 220260262640 265313498180 291844847998 308364367696 371438897452 385455459620 464298621815 530626996360 583689695996 729612119995 742877794904 770910919240 928597243630 1021456967993 1061253992720 1167379391992 1459224239990 1485755589808 1541821838480 1857194487260 2042913935986 2334758783984 2918448479980 3714388974520 4085827871972 5107284839965 5836896959960 7428777949040 8171655743944 10214569679930 11673793919920 16343311487888 20429139359860 40858278719720 81716557439440