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45226317138120 = 233251710696912929
BaseRepresentation
bin10100100100010000100101…
…00100010100100011001000
312221010121000210122221212100
422102020102210110203020
521411441444141404440
6240104403330313400
712345331204534116
oct1222102244244310
9187117023587770
1045226317138120
1113457411a82158
1250a51b6128860
131c30a9203cc71
14b24d731ccab6
1553669100d230
hex2922129148c8

45226317138120 has 192 divisors, whose sum is σ = 155777347206000. Its totient is φ = 11340298911744.

The previous prime is 45226317138091. The next prime is 45226317138131. The reversal of 45226317138120 is 2183171362254.

45226317138120 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 631 + 7 + 1 + 3 + 8 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18705815300484 + 26520501837636 = 4325022^2 + 5149806^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3085816 + ... + 9998744.

Almost surely, 245226317138120 is an apocalyptic number.

45226317138120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45226317138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77888673603000).

45226317138120 is an abundant number, since it is smaller than the sum of its proper divisors (110551030067880).

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

45226317138120 is a wasteful number, since it uses less digits than its factorization.

45226317138120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914032 (or 6914025 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 45226317138120 in words is "forty-five trillion, two hundred twenty-six billion, three hundred seventeen million, one hundred thirty-eight thousand, one hundred twenty".