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45020555664 = 24376716312269
BaseRepresentation
bin101001111011011011…
…110010100110010000
311022012120010012010120
4221323123302212100
51214200230240124
632403202430240
73152436260220
oct517333624620
9138176105116
1045020555664
1118102a258a7
128885362380
13432625a466
1422712a0080
15128764dd79
hexa7b6f2990

45020555664 has 160 divisors (see below), whose sum is σ = 135740359680. Its totient is φ = 12592267776.

The previous prime is 45020555663. The next prime is 45020555687. The reversal of 45020555664 is 46655502054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45020555663) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3663322 + ... + 3675590.

It is an arithmetic number, because the mean of its divisors is an integer number (848377248).

Almost surely, 245020555664 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 45020555664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67870179840).

45020555664 is an abundant number, since it is smaller than the sum of its proper divisors (90719804016).

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

45020555664 is a wasteful number, since it uses less digits than its factorization.

45020555664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12511 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 45020555664 in words is "forty-five billion, twenty million, five hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 163 168 201 268 326 336 402 469 489 536 652 804 938 978 1072 1141 1304 1407 1608 1876 1956 2282 2608 2814 3216 3423 3752 3912 4564 5628 6846 7504 7824 9128 10921 11256 12269 13692 18256 21842 22512 24538 27384 32763 36807 43684 49076 54768 65526 73614 76447 85883 87368 98152 131052 147228 152894 171766 174736 196304 229341 257649 262104 294456 305788 343532 458682 515298 524208 588912 611576 687064 822023 917364 1030596 1223152 1374128 1644046 1834728 1999847 2061192 2466069 3288092 3669456 3999694 4122384 4932138 5754161 5999541 6576184 7999388 9864276 11508322 11999082 13152368 13998929 15998776 17262483 19728552 23016644 23998164 27997858 31997552 34524966 39457104 41996787 46033288 47996328 55995716 69049932 83993574 92066576 95992656 111991432 133989749 138099864 167987148 223982864 267979498 276199728 335974296 401969247 535958996 671948592 803938494 937928243 1071917992 1607876988 1875856486 2143835984 2813784729 3215753976 3751712972 5627569458 6431507952 7503425944 11255138916 15006851888 22510277832 45020555664