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126746320351 = 72178913712479
BaseRepresentation
bin111011000001010101…
…0110101110111011111
3110010011011120012020011
41312002222311313133
54034034024222401
6134120525304051
712104614642600
oct1660252656737
9403134505204
10126746320351
1149830aa2492
1220693105027
13bc4ba8cac1
1461c5309da7
15346c3b0451
hex1d82ab5ddf

126746320351 has 48 divisors (see below), whose sum is σ = 159031641600. Its totient is φ = 100354265088.

The previous prime is 126746320343. The next prime is 126746320357. The reversal of 126746320351 is 153023647621.

It is a happy number.

It is not a de Polignac number, because 126746320351 - 23 = 126746320343 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126746320357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10150530 + ... + 10163008.

It is an arithmetic number, because the mean of its divisors is an integer number (3313159200).

Almost surely, 2126746320351 is an apocalyptic number.

126746320351 is a deficient number, since it is larger than the sum of its proper divisors (32285321249).

126746320351 is a wasteful number, since it uses less digits than its factorization.

126746320351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12736 (or 12729 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

Adding to 126746320351 its reverse (153023647621), we get a palindrome (279769967972).

The spelling of 126746320351 in words is "one hundred twenty-six billion, seven hundred forty-six million, three hundred twenty thousand, three hundred fifty-one".

Divisors: 1 7 17 49 89 119 137 623 833 959 1513 2329 4361 6713 10591 12193 12479 16303 74137 85351 87353 114121 207281 212143 597457 611471 1110631 1450967 1485001 1709623 7774417 10156769 10395007 11967361 18880727 29063591 54420919 83771527 132165089 152156447 203445137 925155623 1065095129 1424115959 2586659599 7455665903 18106617193 126746320351