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45189215856 = 243217181101987
BaseRepresentation
bin101010000101011111…
…001011011001110000
311022122022111000102100
4222011133023121300
51220021414401411
632432025420400
73156554666001
oct520537133160
9138568430370
1045189215856
111818a152794
12891193a700
1343521909a5
1422898451a8
151297367456
hexa857cb670

45189215856 has 120 divisors (see below), whose sum is σ = 134647413264. Its totient is φ = 14098544640.

The previous prime is 45189215849. The next prime is 45189215861. The reversal of 45189215856 is 65851298154.

45189215856 is a `hidden beast` number, since 4 + 51 + 8 + 9 + 2 + 1 + 585 + 6 = 666.

45189215856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 392095 + ... + 494081.

Almost surely, 245189215856 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 45189215856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67323706632).

45189215856 is an abundant number, since it is smaller than the sum of its proper divisors (89458197408).

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

45189215856 is a wasteful number, since it uses less digits than its factorization.

45189215856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102199 (or 102190 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 45189215856 in words is "forty-five billion, one hundred eighty-nine million, two hundred fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 181 204 272 306 362 408 543 612 724 816 1086 1224 1448 1629 2172 2448 2896 3077 3258 4344 6154 6516 8688 9231 12308 13032 18462 24616 26064 27693 36924 49232 55386 73848 101987 110772 147696 203974 221544 305961 407948 443088 611922 815896 917883 1223844 1631792 1733779 1835766 2447688 3467558 3671532 4895376 5201337 6935116 7343064 10402674 13870232 14686128 15604011 18459647 20805348 27740464 31208022 36919294 41610696 55378941 62416044 73838588 83221392 110757882 124832088 147677176 166136823 221515764 249664176 295354352 313813999 332273646 443031528 627627998 664547292 886063056 941441997 1255255996 1329094584 1882883994 2510511992 2658189168 2824325991 3765767988 5021023984 5648651982 7531535976 11297303964 15063071952 22594607928 45189215856