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45435200020 = 2257322073001
BaseRepresentation
bin101010010100001001…
…100010001000010100
311100021110100022020221
4222110021202020110
51221022402400040
632512254004124
73165632554000
oct522411421024
9140243308227
1045435200020
11182a5a93291
1289801a6644
134391128552
1422b0397700
1512adc5674a
hexa94262214

45435200020 has 96 divisors (see below), whose sum is σ = 111357388800. Its totient is φ = 15565536000.

The previous prime is 45435200011. The next prime is 45435200021. The reversal of 45435200020 is 2000253454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45435200021) 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, 15138520 + ... + 15141520.

It is an arithmetic number, because the mean of its divisors is an integer number (1159972800).

Almost surely, 245435200020 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 45435200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55678694400).

45435200020 is an abundant number, since it is smaller than the sum of its proper divisors (65922188780).

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

45435200020 is a wasteful number, since it uses less digits than its factorization.

45435200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 45435200020 its reverse (2000253454), we get a palindrome (47435453474).

The spelling of 45435200020 in words is "forty-five billion, four hundred thirty-five million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2207 3001 3430 4414 6002 6860 8828 11035 12004 15005 15449 21007 22070 30010 30898 42014 44140 60020 61796 77245 84028 105035 108143 147049 154490 210070 216286 294098 308980 420140 432572 540715 588196 735245 757001 1029343 1081430 1470490 1514002 2058686 2162860 2940980 3028004 3785005 4117372 5146715 6623207 7570010 10293430 13246414 15140020 20586860 26492828 33116035 46362449 66232070 92724898 132464140 185449796 231812245 324537143 463624490 649074286 927248980 1298148572 1622685715 2271760001 3245371430 4543520002 6490742860 9087040004 11358800005 22717600010 45435200020