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6416543116240 = 2451714931664741
BaseRepresentation
bin101110101011111011111…
…0001011110101111010000
3211201102012220220022002221
41131113313301132233100
51320112040014204430
621351415203350424
71231402630403605
oct135276761365720
924642186808087
106416543116240
112054271345944
1287769b382414
133771011244ca
141827c31006ac
15b1d97daa57a
hex5d5f7c5ebd0

6416543116240 has 80 divisors (see below), whose sum is σ = 15902033432400. Its totient is φ = 2399427338240.

The previous prime is 6416543116219. The next prime is 6416543116259. The reversal of 6416543116240 is 426113456146.

It can be written as a sum of positive squares in 8 ways, for example, as 84153368464 + 6332389747776 = 290092^2 + 2516424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15629731 + ... + 16035010.

It is an arithmetic number, because the mean of its divisors is an integer number (198775417905).

Almost surely, 26416543116240 is an apocalyptic number.

It is an amenable number.

6416543116240 is an abundant number, since it is smaller than the sum of its proper divisors (9485490316160).

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

6416543116240 is a wasteful number, since it uses less digits than its factorization.

6416543116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31664920 (or 31664914 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 6416543116240 in words is "six trillion, four hundred sixteen billion, five hundred forty-three million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 149 170 272 298 340 596 680 745 1192 1360 1490 2384 2533 2980 5066 5960 10132 11920 12665 20264 25330 40528 50660 101320 202640 31664741 63329482 126658964 158323705 253317928 316647410 506635856 538300597 633294820 1076601194 1266589640 2153202388 2533179280 2691502985 4306404776 4718046409 5383005970 8612809552 9436092818 10766011940 18872185636 21532023880 23590232045 37744371272 43064047760 47180464090 75488742544 80206788953 94360928180 160413577906 188721856360 320827155812 377443712720 401033944765 641654311624 802067889530 1283308623248 1604135779060 3208271558120 6416543116240