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20126261744512 = 277116730478081
BaseRepresentation
bin1001001001110000000101…
…01011101001001110000000
32122021001101210012200210121
410210320002223221032000
510114222041001311022
6110445513233310024
74145034346111120
oct444700253511600
978231353180717
1020126261744512
11645a555078520
122310730405314
13b2cb8a85c171
144d818b068c80
1524d7e49282c7
hex124e02ae9380

20126261744512 has 128 divisors (see below), whose sum is σ = 50735034420480. Its totient is φ = 7724364595200.

The previous prime is 20126261744473. The next prime is 20126261744569. The reversal of 20126261744512 is 21544716262102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14578689 + ... + 15899392.

It is an arithmetic number, because the mean of its divisors is an integer number (396367456410).

Almost surely, 220126261744512 is an apocalyptic number.

20126261744512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20126261744512 is an abundant number, since it is smaller than the sum of its proper divisors (30608772675968).

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

20126261744512 is a wasteful number, since it uses less digits than its factorization.

20126261744512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30478180 (or 30478168 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 20126261744512 in words is "twenty trillion, one hundred twenty-six billion, two hundred sixty-one million, seven hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 67 77 88 112 128 134 154 176 224 268 308 352 448 469 536 616 704 737 896 938 1072 1232 1408 1474 1876 2144 2464 2948 3752 4288 4928 5159 5896 7504 8576 9856 10318 11792 15008 20636 23584 30016 41272 47168 60032 82544 94336 165088 330176 660352 30478081 60956162 121912324 213346567 243824648 335258891 426693134 487649296 670517782 853386268 975298592 1341035564 1706772536 1950597184 2042031427 2346812237 2682071128 3413545072 3901194368 4084062854 4693624474 5364142256 6827090144 8168125708 9387248948 10728284512 13654180288 14294219989 16336251416 18774497896 21456569024 22462345697 27308360576 28588439978 32672502832 37548995792 42913138048 44924691394 57176879956 65345005664 75097991584 89849382788 114353759912 130690011328 150195983168 157236419879 179698765576 228707519824 261380022656 300391966336 314472839758 359397531152 457415039648 628945679516 718795062304 914830079296 1257891359032 1437590124608 1829660158592 2515782718064 2875180249216 5031565436128 10063130872256 20126261744512