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45435010005 = 32571197135181
BaseRepresentation
bin101010010100001000…
…110011101111010101
311100021102222122121100
4222110020303233111
51221022330310010
632512245540313
73165631133010
oct522410635725
9140242878540
1045435010005
11182a5973550
128980114699
13439108cc08
1422b0348377
1512adc1a2c0
hexa94233bd5

45435010005 has 96 divisors (see below), whose sum is σ = 99199795968. Its totient is φ = 18687283200.

The previous prime is 45435009941. The next prime is 45435010009. The reversal of 45435010005 is 50001053454.

45435010005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45435010005 - 26 = 45435009941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45435010009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268515 + ... + 403695.

It is an arithmetic number, because the mean of its divisors is an integer number (1033331208).

Almost surely, 245435010005 is an apocalyptic number.

45435010005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45435010005 is an abundant number, since it is smaller than the sum of its proper divisors (53764785963).

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

45435010005 is a wasteful number, since it uses less digits than its factorization.

45435010005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135307 (or 135304 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 45435010005 its reverse (50001053454), we get a palindrome (95436063459).

The spelling of 45435010005 in words is "forty-five billion, four hundred thirty-five million, ten thousand, five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 97 99 105 165 231 291 315 385 485 495 679 693 873 1067 1155 1455 2037 3201 3395 3465 4365 5335 6111 7469 9603 10185 16005 22407 30555 37345 48015 67221 112035 135181 336105 405543 675905 946267 1216629 1486991 2027715 2838801 4460973 4731335 6083145 7434955 8516403 10408937 13112557 13382919 14194005 22304865 31226811 39337671 42582015 52044685 65562785 66914595 91787899 93680433 118013013 144238127 156134055 196688355 275363697 432714381 458939495 468402165 590065065 721190635 826091091 1009666889 1298143143 1376818485 2163571905 3029000667 4130455455 5048334445 6490715715 9087002001 15145003335 45435010005