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20310344352 = 25358331469
BaseRepresentation
bin10010111010100101…
…110100001010100000
31221102110111101200000
4102322211310022200
5313043422004402
613155213100000
71316211035634
oct227245641240
957373441600
1020310344352
118682729361
123b29a87600
131bb8a87c4c
14da95ccdc4
157dd11ec1c
hex4ba9742a0

20310344352 has 144 divisors (see below), whose sum is σ = 60620283360. Its totient is φ = 6688334592.

The previous prime is 20310344347. The next prime is 20310344357. The reversal of 20310344352 is 25344301302.

20310344352 is a `hidden beast` number, since 2 + 0 + 310 + 344 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20310344347) and next prime (20310344357).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20310344357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629674 + ... + 661142.

It is an arithmetic number, because the mean of its divisors is an integer number (420974190).

Almost surely, 220310344352 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 20310344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30310141680).

20310344352 is an abundant number, since it is smaller than the sum of its proper divisors (40309939008).

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

20310344352 is an equidigital number, since it uses as much as digits as its factorization.

20310344352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31577 (or 31557 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 20310344352 its reverse (25344301302), we get a palindrome (45654645654).

The spelling of 20310344352 in words is "twenty billion, three hundred ten million, three hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 83 96 108 144 162 166 216 243 249 288 324 332 432 486 498 648 664 747 864 972 996 1296 1328 1494 1944 1992 2241 2592 2656 2988 3888 3984 4482 5976 6723 7776 7968 8964 11952 13446 17928 20169 23904 26892 31469 35856 40338 53784 62938 71712 80676 94407 107568 125876 161352 188814 215136 251752 283221 322704 377628 503504 566442 645408 755256 849663 1007008 1132884 1510512 1699326 2265768 2548989 2611927 3021024 3398652 4531536 5097978 5223854 6797304 7646967 7835781 9063072 10195956 10447708 13594608 15293934 15671562 20391912 20895416 23507343 27189216 30587868 31343124 40783824 41790832 47014686 61175736 62686248 70522029 81567648 83581664 94029372 122351472 125372496 141044058 188058744 211566087 244702944 250744992 282088116 376117488 423132174 564176232 634698261 752234976 846264348 1128352464 1269396522 1692528696 2256704928 2538793044 3385057392 5077586088 6770114784 10155172176 20310344352