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20342413200 = 2435297174763
BaseRepresentation
bin10010111100100000…
…001001011110010000
31221111200211122212010
4102330200021132100
5313130124210300
613202320302520
71320050442054
oct227440113620
957450748763
1020342413200
11869984213a
123b38771a40
131bc26057b5
14dad979c64
157e0d56a50
hex4bc809790

20342413200 has 120 divisors (see below), whose sum is σ = 65835695968. Its totient is φ = 5368688640.

The previous prime is 20342413199. The next prime is 20342413237. The reversal of 20342413200 is 231424302.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29019 + ... + 203781.

Almost surely, 220342413200 is an apocalyptic number.

20342413200 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 20342413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32917847984).

20342413200 is an abundant number, since it is smaller than the sum of its proper divisors (45493282768).

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

20342413200 is a wasteful number, since it uses less digits than its factorization.

20342413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174881 (or 174870 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20342413200 its reverse (231424302), we get a palindrome (20573837502).

The spelling of 20342413200 in words is "twenty billion, three hundred forty-two million, four hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 97 100 120 150 194 200 240 291 300 388 400 485 582 600 776 970 1164 1200 1455 1552 1940 2328 2425 2910 3880 4656 4850 5820 7275 7760 9700 11640 14550 19400 23280 29100 38800 58200 116400 174763 349526 524289 699052 873815 1048578 1398104 1747630 2097156 2621445 2796208 3495260 4194312 4369075 5242890 6990520 8388624 8738150 10485780 13107225 13981040 16952011 17476300 20971560 26214450 33904022 34952600 41943120 50856033 52428900 67808044 69905200 84760055 101712066 104857800 135616088 169520110 203424132 209715600 254280165 271232176 339040220 406848264 423800275 508560330 678080440 813696528 847600550 1017120660 1271400825 1356160880 1695201100 2034241320 2542801650 3390402200 4068482640 5085603300 6780804400 10171206600 20342413200