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45222514145352 = 23325571127631013
BaseRepresentation
bin10100100100001001011111…
…11001000011100001001000
312221010020012202122220112100
422102010233321003201020
521411411202110122402
6240102534115113400
712345135025611465
oct1222045771034110
9187106182586470
1045222514145352
1113455840317425
1250a45145a2860
131c3060719859b
14b24ad20bc66c
1553651c20071c
hex29212fe43848

45222514145352 has 48 divisors (see below), whose sum is σ = 122697530633340. Its totient is φ = 15047108224128.

The previous prime is 45222514145287. The next prime is 45222514145353. The reversal of 45222514145352 is 25354141522254.

45222514145352 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 2 + 5 + 141 + 453 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45206877643236 + 15636502116 = 6723606^2 + 125046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45222514145298 and 45222514145307.

It is not an unprimeable number, because it can be changed into a prime (45222514145353) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 563775403 + ... + 563855610.

Almost surely, 245222514145352 is an apocalyptic number.

It is an amenable number.

45222514145352 is an abundant number, since it is smaller than the sum of its proper divisors (77475016487988).

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

45222514145352 is a wasteful number, since it uses less digits than its factorization.

45222514145352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127631582 (or 1127631575 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 45.

The spelling of 45222514145352 in words is "forty-five trillion, two hundred twenty-two billion, five hundred fourteen million, one hundred forty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 557 1114 1671 2228 3342 4456 5013 6684 10026 13368 20052 40104 1127631013 2255262026 3382893039 4510524052 6765786078 9021048104 10148679117 13531572156 20297358234 27063144312 40594716468 81189432936 628090474241 1256180948482 1884271422723 2512361896964 3768542845446 5024723793928 5652814268169 7537085690892 11305628536338 15074171381784 22611257072676 45222514145352