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82455317476401 = 3437346171189643
BaseRepresentation
bin10010101111111000011111…
…111010000111010000110001
3101210221122120211212012112010
4102233320133322013100301
541301421442233221101
6451211241103153133
723240125430245002
oct2257703772072061
9353848524765463
1082455317476401
1124300116123071
1292b8486ba57a9
13370167033c87c
141650c0423b1a9
1597ecba91d2d6
hex4afe1fe87431

82455317476401 has 32 divisors (see below), whose sum is σ = 114041305810432. Its totient is φ = 52954903854720.

The previous prime is 82455317476387. The next prime is 82455317476421. The reversal of 82455317476401 is 10467471355428.

It is not a de Polignac number, because 82455317476401 - 214 = 82455317460017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82455317476421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434697486 + ... + 434887128.

It is an arithmetic number, because the mean of its divisors is an integer number (3563790806576).

Almost surely, 282455317476401 is an apocalyptic number.

It is an amenable number.

82455317476401 is a deficient number, since it is larger than the sum of its proper divisors (31585988334031).

82455317476401 is a wasteful number, since it uses less digits than its factorization.

82455317476401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235933.

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 82455317476401 in words is "eighty-two trillion, four hundred fifty-five billion, three hundred seventeen million, four hundred seventy-six thousand, four hundred one".

Divisors: 1 3 43 73 129 219 3139 9417 46171 138513 189643 568929 1985353 3370483 5956059 8154649 10111449 13843939 24463947 41531817 144930769 434792307 595289377 1785868131 8756006953 26268020859 376508298979 639188507569 1129524896937 1917565522707 27485105825467 82455317476401