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45020250288 = 243213109322003
BaseRepresentation
bin101001111011011010…
…101000000010110000
311022012112112200020100
4221323122220002300
51214200141002123
632403152112400
73152433546006
oct517332500260
9138175480210
1045020250288
1118102837422
128885235700
134326181470
142271220a76
1512875dd643
hexa7b6a80b0

45020250288 has 120 divisors (see below), whose sum is σ = 135816345392. Its totient is φ = 13839081984.

The previous prime is 45020250287. The next prime is 45020250293. The reversal of 45020250288 is 88205202054.

45020250288 is a `hidden beast` number, since 4 + 50 + 20 + 2 + 502 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45020250287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2035095 + ... + 2057097.

Almost surely, 245020250288 is an apocalyptic number.

45020250288 is a gapful number since it is divisible by the number (48) 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 45020250288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67908172696).

45020250288 is an abundant number, since it is smaller than the sum of its proper divisors (90796095104).

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

45020250288 is a wasteful number, since it uses less digits than its factorization.

45020250288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23114 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 45020250288 in words is "forty-five billion, twenty million, two hundred fifty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1093 1872 2186 3279 4372 6558 8744 9837 13116 14209 17488 19674 22003 26232 28418 39348 42627 44006 52464 56836 66009 78696 85254 88012 113672 127881 132018 157392 170508 176024 198027 227344 255762 264036 286039 341016 352048 396054 511524 528072 572078 682032 792108 858117 1023048 1056144 1144156 1584216 1716234 2046096 2288312 2574351 3168432 3432468 4576624 5148702 6864936 10297404 13729872 20594808 24049279 41189616 48098558 72147837 96197116 144295674 192394232 216443511 288591348 312640627 384788464 432887022 577182696 625281254 865774044 937921881 1154365392 1250562508 1731548088 1875843762 2501125016 2813765643 3463096176 3751687524 5002250032 5627531286 7503375048 11255062572 15006750096 22510125144 45020250288