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45317133171354 = 23111750380297419
BaseRepresentation
bin10100100110111001101111…
…00111111111101010011010
312221110021102221001110010210
422103130313213333222122
521414433442042440404
6240214223101151550
712355024543222242
oct1223346747775232
9187407387043123
1045317133171354
1113491985295080
1250ba92025b5b6
131c39505c39b35
14b2950a62ab22
15538c08d2c689
hex2937379ffa9a

45317133171354 has 64 divisors (see below), whose sum is σ = 104897979970560. Its totient is φ = 12898977227520.

The previous prime is 45317133171353. The next prime is 45317133171379.

45317133171354 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (45317133171353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39584344 + ... + 40713075.

It is an arithmetic number, because the mean of its divisors is an integer number (1639030937040).

Almost surely, 245317133171354 is an apocalyptic number.

45317133171354 is an abundant number, since it is smaller than the sum of its proper divisors (59580846799206).

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

45317133171354 is a wasteful number, since it uses less digits than its factorization.

45317133171354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80297955.

The product of its digits is 1587600, while the sum is 48.

The spelling of 45317133171354 in words is "forty-five trillion, three hundred seventeen billion, one hundred thirty-three million, one hundred seventy-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 503 561 1006 1122 1509 3018 5533 8551 11066 16599 17102 25653 33198 51306 94061 188122 282183 564366 80297419 160594838 240892257 481784514 883271609 1365056123 1766543218 2649814827 2730112246 4095168369 5299629654 8190336738 15015617353 30031234706 40389601757 45046852059 80779203514 90093704118 121168805271 242337610542 444285619327 686623229869 888571238654 1332856857981 1373246459738 2059869689607 2665713715962 4119739379214 7552855528559 15105711057118 22658566585677 45317133171354