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21452413020 = 22352923111367
BaseRepresentation
bin10011111110101010…
…011101100001011100
32001101001111111100120
4103332222131201130
5322413304204040
613504411354540
71356416334123
oct237652354134
961331444316
1021452413020
119109367465
1241a8452a50
13203b577c1c
14107715caba
158585157d0
hex4fea9d85c

21452413020 has 144 divisors (see below), whose sum is σ = 62455131648. Its totient is φ = 5501592320.

The previous prime is 21452412997. The next prime is 21452413027. The reversal of 21452413020 is 2031425412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21452413027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15692377 + ... + 15693743.

It is an arithmetic number, because the mean of its divisors is an integer number (433716192).

Almost surely, 221452413020 is an apocalyptic number.

21452413020 is a gapful number since it is divisible by the number (20) 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 21452413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31227565824).

21452413020 is an abundant number, since it is smaller than the sum of its proper divisors (41002718628).

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

21452413020 is a wasteful number, since it uses less digits than its factorization.

21452413020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 21452413020 its reverse (2031425412), we get a palindrome (23483838432).

The spelling of 21452413020 in words is "twenty-one billion, four hundred fifty-two million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 311 348 435 580 622 841 870 933 1244 1367 1555 1682 1740 1866 2523 2734 3110 3364 3732 4101 4205 4665 5046 5468 6220 6835 8202 8410 9019 9330 10092 12615 13670 16404 16820 18038 18660 20505 25230 27057 27340 36076 39643 41010 45095 50460 54114 79286 82020 90190 108228 118929 135285 158572 180380 198215 237858 261551 270570 396430 425137 475716 523102 541140 594645 784653 792860 850274 1046204 1149647 1189290 1275411 1307755 1569306 1700548 2125685 2299294 2378580 2550822 2615510 3138612 3448941 3923265 4251370 4598588 5101644 5231020 5748235 6377055 6897882 7846530 8502740 11496470 12328973 12754110 13795764 15693060 17244705 22992940 24657946 25508220 34489410 36986919 49315892 61644865 68978820 73973838 123289730 147947676 184934595 246579460 357540217 369869190 715080434 739738380 1072620651 1430160868 1787701085 2145241302 3575402170 4290482604 5363103255 7150804340 10726206510 21452413020