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45435010020 = 22354353332273
BaseRepresentation
bin101010010100001000…
…110011101111100100
311100021102222122121220
4222110020303233210
51221022330310040
632512245540340
73165631133031
oct522410635744
9140242878556
1045435010020
11182a5973564
1289801146b0
13439108cc1a
1422b0348388
1512adc1a2d0
hexa94233be4

45435010020 has 96 divisors (see below), whose sum is σ = 132633148032. Its totient is φ = 11610912768.

The previous prime is 45435010009. The next prime is 45435010051. The reversal of 45435010020 is 2001053454.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29397 + ... + 302876.

It is an arithmetic number, because the mean of its divisors is an integer number (1381595292).

Almost surely, 245435010020 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 45435010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66316574016).

45435010020 is an abundant number, since it is smaller than the sum of its proper divisors (87198138012).

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

45435010020 is a wasteful number, since it uses less digits than its factorization.

45435010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332381 (or 332379 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 45435010020 its reverse (2001053454), we get a palindrome (47436063474).

The spelling of 45435010020 in words is "forty-five billion, four hundred thirty-five million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 53 60 86 106 129 159 172 212 215 258 265 318 430 516 530 636 645 795 860 1060 1290 1590 2279 2580 3180 4558 6837 9116 11395 13674 22790 27348 34185 45580 68370 136740 332273 664546 996819 1329092 1661365 1993638 3322730 3987276 4984095 6645460 9968190 14287739 17610469 19936380 28575478 35220938 42863217 52831407 57150956 70441876 71438695 85726434 88052345 105662814 142877390 171452868 176104690 211325628 214316085 264157035 285754780 352209380 428632170 528314070 757250167 857264340 1056628140 1514500334 2271750501 3029000668 3786250835 4543501002 7572501670 9087002004 11358752505 15145003340 22717505010 45435010020