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45086779620 = 2232510921110891
BaseRepresentation
bin101001111111011000…
…011010100011100100
311022101011201201022200
4221333120122203210
51214314203421440
632413530054500
73154202206041
oct517730324344
9138334651280
1045086779620
1118137347943
1288a357a430
134336ba632c
142279dbc1c8
15128d380c30
hexa7f61a8e4

45086779620 has 144 divisors (see below), whose sum is σ = 138684786240. Its totient is φ = 11855289600.

The previous prime is 45086779531. The next prime is 45086779667. The reversal of 45086779620 is 2697768054.

45086779620 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 6 + 7 + 7 + 9 + 620 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4134375 + ... + 4145265.

Almost surely, 245086779620 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 45086779620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69342393120).

45086779620 is an abundant number, since it is smaller than the sum of its proper divisors (93598006620).

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

45086779620 is a wasteful number, since it uses less digits than its factorization.

45086779620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11221 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 45086779620 in words is "forty-five billion, eighty-six million, seven hundred seventy-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 211 218 327 422 436 545 633 654 844 981 1055 1090 1266 1308 1635 1899 1962 2110 2180 2532 3165 3270 3798 3924 4220 4905 6330 6540 7596 9495 9810 10891 12660 18990 19620 21782 22999 32673 37980 43564 45998 54455 65346 68997 91996 98019 108910 114995 130692 137994 163365 196038 206991 217820 229990 275988 326730 344985 392076 413982 459980 490095 653460 689970 827964 980190 1034955 1187119 1379940 1960380 2069910 2298001 2374238 3561357 4139820 4596002 4748476 5935595 6894003 7122714 9192004 10684071 11490005 11871190 13788006 14245428 17806785 20682009 21368142 22980010 23742380 27576012 34470015 35613570 41364018 42736284 45960020 53420355 68940030 71227140 82728036 103410045 106840710 137880060 206820090 213681420 250482109 413640180 500964218 751446327 1001928436 1252410545 1502892654 2254338981 2504821090 3005785308 3757231635 4508677962 5009642180 7514463270 9017355924 11271694905 15028926540 22543389810 45086779620