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45879255084 = 223131919181041
BaseRepresentation
bin101010101110100111…
…011110000000101100
311101102101220122021210
4222232213132000230
51222430042130314
633024315354420
73212634143115
oct525647360054
9141371818253
1045879255084
1118503709443
128a84a52a10
134432123320
14231334920c
1512d7c1d559
hexaae9de02c

45879255084 has 96 divisors (see below), whose sum is σ = 121990901760. Its totient is φ = 13303526400.

The previous prime is 45879255011. The next prime is 45879255089. The reversal of 45879255084 is 48055297854.

45879255084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (45879255089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525604 + ... + 606644.

It is an arithmetic number, because the mean of its divisors is an integer number (1270738560).

Almost surely, 245879255084 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 45879255084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60995450880).

45879255084 is an abundant number, since it is smaller than the sum of its proper divisors (76111646676).

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

45879255084 is a wasteful number, since it uses less digits than its factorization.

45879255084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81271 (or 81269 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 45879255084 in words is "forty-five billion, eight hundred seventy-nine million, two hundred fifty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 191 228 247 382 494 573 741 764 988 1146 1482 2292 2483 2964 3629 4966 7258 7449 9932 10887 14516 14898 21774 29796 43548 47177 81041 94354 141531 162082 188708 243123 283062 324164 486246 566124 972492 1053533 1539779 2107066 3079558 3160599 4214132 4619337 6159116 6321198 9238674 12642396 15478831 18477348 20017127 30957662 40034254 46436493 60051381 61915324 80068508 92872986 120102762 185745972 201224803 240205524 294097789 402449606 588195578 603674409 804899212 882293367 1176391156 1207348818 1764586734 2414697636 3529173468 3823271257 7646542514 11469813771 15293085028 22939627542 45879255084