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45022285776 = 24313367196597
BaseRepresentation
bin101001111011100010…
…011000111111010000
311022012200101002101210
4221323202120333100
51214201201121101
632403303500120
73152460054246
oct517342307720
9138180332353
1045022285776
11181039a7746
128885a57640
134326714ab0
1422715d0796
1512878917d6
hexa7b898fd0

45022285776 has 80 divisors (see below), whose sum is σ = 125596239104. Its totient is φ = 13815194112.

The previous prime is 45022285757. The next prime is 45022285787. The reversal of 45022285776 is 67758222054.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 130710 + ... + 327306.

Almost surely, 245022285776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45022285776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62798119552).

45022285776 is an abundant number, since it is smaller than the sum of its proper divisors (80573953328).

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

45022285776 is a wasteful number, since it uses less digits than its factorization.

45022285776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196988 (or 196982 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 45022285776 in words is "forty-five billion, twenty-two million, two hundred eighty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 367 624 734 1101 1468 2202 2936 4404 4771 5872 8808 9542 14313 17616 19084 28626 38168 57252 76336 114504 196597 229008 393194 589791 786388 1179582 1572776 2359164 2555761 3145552 4718328 5111522 7667283 9436656 10223044 15334566 20446088 30669132 40892176 61338264 72151099 122676528 144302198 216453297 288604396 432906594 577208792 865813188 937964287 1154417584 1731626376 1875928574 2813892861 3463252752 3751857148 5627785722 7503714296 11255571444 15007428592 22511142888 45022285776