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20431431330604 = 2274312721052119
BaseRepresentation
bin1001010010101000100000…
…01101001110101100101100
32200100020002120121220111021
410221110100031032230230
510134222032410034404
6111242023040503524
74206056625564160
oct451242015165454
980306076556437
1020431431330604
116567a15381318
12235b8b901aba4
13b528a26b5448
14508c5a9b4ca0
15256705d8b454
hex12951034eb2c

20431431330604 has 72 divisors (see below), whose sum is σ = 42145031765760. Its totient is φ = 8485340086944.

The previous prime is 20431431330593. The next prime is 20431431330619. The reversal of 20431431330604 is 40603313413402.

It is a self number, because there is not a number n which added to its sum of digits gives 20431431330604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18893257 + ... + 19945375.

Almost surely, 220431431330604 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 20431431330604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21072515882880).

20431431330604 is an abundant number, since it is smaller than the sum of its proper divisors (21713600435156).

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

20431431330604 is a wasteful number, since it uses less digits than its factorization.

20431431330604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052427 (or 1052298 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The spelling of 20431431330604 in words is "twenty trillion, four hundred thirty-one billion, four hundred thirty-one million, three hundred thirty thousand, six hundred four".

Divisors: 1 2 4 7 14 28 43 86 127 172 254 301 508 602 889 1204 1778 3556 5461 10922 16129 21844 32258 38227 64516 76454 112903 152908 225806 451612 693547 1052119 1387094 2104238 2774188 4208476 4854829 7364833 9709658 14729666 19419316 29459332 45241117 90482234 133619113 180964468 267238226 316687819 534476452 633375638 935333791 1266751276 1870667582 3741335164 5745621859 11491243718 16969627351 22982487436 33939254702 40219353013 67878509404 80438706026 118787391457 160877412052 237574782914 475149565828 729693976093 1459387952186 2918775904372 5107857832651 10215715665302 20431431330604