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20405721297 = 31323759103179
BaseRepresentation
bin10011000000010001…
…101001100011010001
31221200002222001020110
4103000101221203101
5313242331040142
613212501231533
71321446524553
oct230021514321
957602861213
1020405721297
118721552485
123b55a025a9
131c02770400
14db81394d3
157e66ae99c
hex4c04698d1

20405721297 has 96 divisors (see below), whose sum is σ = 31242931200. Its totient is φ = 11827835136.

The previous prime is 20405721283. The next prime is 20405721311. The reversal of 20405721297 is 79212750402.

It is an interprime number because it is at equal distance from previous prime (20405721283) and next prime (20405721311).

It is not a de Polignac number, because 20405721297 - 218 = 20405459153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20405721097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113998354 + ... + 113998532.

It is an arithmetic number, because the mean of its divisors is an integer number (325447200).

Almost surely, 220405721297 is an apocalyptic number.

It is an amenable number.

20405721297 is a deficient number, since it is larger than the sum of its proper divisors (10837209903).

20405721297 is a wasteful number, since it uses less digits than its factorization.

20405721297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 20405721297 in words is "twenty billion, four hundred five million, seven hundred twenty-one thousand, two hundred ninety-seven".

Divisors: 1 3 13 37 39 59 103 111 169 177 179 309 481 507 537 767 1339 1443 2183 2301 2327 3811 4017 6077 6253 6549 6623 6981 9971 10561 11433 17407 18231 18437 18759 19869 28379 29913 30251 31683 49543 52221 55311 79001 85137 86099 90753 137293 148629 224849 237003 239681 258297 368927 390757 411879 644059 674547 682169 719043 1027013 1087783 1106781 1119287 1172271 1784809 1932177 2046507 2923037 3081039 3115853 3263349 3357861 5079841 5354427 8769111 8868197 9347559 14141179 15239523 26604591 37999481 40247971 42423537 66037933 113998443 115286561 120743913 183835327 198113799 345859683 523223623 551505981 1569670869 6801907099 20405721297