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45020124520 = 23574315124763
BaseRepresentation
bin101001111011011010…
…001001010101101000
311022012112022021201021
4221323122021111220
51214200122441040
632403145302224
73152432513230
oct517332112550
9138175267637
1045020124520
1118102760988
128885194974
134326139147
1422711cacc0
1512875b624a
hexa7b689568

45020124520 has 128 divisors (see below), whose sum is σ = 119247575040. Its totient is φ = 14976057600.

The previous prime is 45020124469. The next prime is 45020124521. The reversal of 45020124520 is 2542102054.

45020124520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450201245202 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45020124521) 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, 1805659 + ... + 1830421.

It is an arithmetic number, because the mean of its divisors is an integer number (931621680).

Almost surely, 245020124520 is an apocalyptic number.

45020124520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45020124520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59623787520).

45020124520 is an abundant number, since it is smaller than the sum of its proper divisors (74227450520).

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

45020124520 is a wasteful number, since it uses less digits than its factorization.

45020124520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24975 (or 24971 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 45020124520 its reverse (2542102054), we get a palindrome (47562226574).

It can be divided in two parts, 450201 and 24520, that added together give a square (474721 = 6892).

The spelling of 45020124520 in words is "forty-five billion, twenty million, one hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 151 172 215 280 301 302 344 430 602 604 755 860 1057 1204 1208 1505 1510 1720 2114 2408 3010 3020 4228 5285 6020 6040 6493 8456 10570 12040 12986 21140 24763 25972 32465 42280 45451 49526 51944 64930 90902 99052 123815 129860 173341 181804 198104 227255 247630 259720 346682 363608 454510 495260 693364 866705 909020 990520 1064809 1386728 1733410 1818040 2129618 3466820 3739213 4259236 5324045 6933640 7453663 7478426 8518472 10648090 14907326 14956852 18696065 21296180 26174491 29814652 29913704 37268315 37392130 42592360 52348982 59629304 74536630 74784260 104697964 130872455 149073260 149568520 160786159 209395928 261744910 298146520 321572318 523489820 643144636 803930795 1046979640 1125503113 1286289272 1607861590 2251006226 3215723180 4502012452 5627515565 6431446360 9004024904 11255031130 22510062260 45020124520