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126716858772 = 22374151017213
BaseRepresentation
bin111011000000011101…
…0011101000110010100
3110010002010010101112120
41312000322131012110
54034004003440042
6134113554015540
712104106346020
oct1660072350624
9403063111476
10126716858772
11498163aa579
12206852775b0
13bc45945c0a
1461c143b380
1534699e0dec
hex1d80e9d194

126716858772 has 96 divisors (see below), whose sum is σ = 346269229824. Its totient is φ = 35309952000.

The previous prime is 126716858677. The next prime is 126716858777. The reversal of 126716858772 is 277858617621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126716858777) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17564238 + ... + 17571450.

It is an arithmetic number, because the mean of its divisors is an integer number (3606971144).

Almost surely, 2126716858772 is an apocalyptic number.

126716858772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126716858772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173134614912).

126716858772 is an abundant number, since it is smaller than the sum of its proper divisors (219552371052).

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

126716858772 is a wasteful number, since it uses less digits than its factorization.

126716858772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12369 (or 12367 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 60.

The spelling of 126716858772 in words is "one hundred twenty-six billion, seven hundred sixteen million, eight hundred fifty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 5101 7213 10202 14426 15303 20404 21639 28852 30606 35707 43278 50491 61212 71414 86556 100982 107121 142828 151473 201964 209141 214242 295733 302946 418282 428484 591466 605892 627423 836564 887199 1182932 1254846 1463987 1774398 2070131 2509692 2927974 3548796 4140262 4391961 5855948 6210393 8280524 8783922 12420786 17567844 24841572 36793513 73587026 110380539 147174052 220761078 257554591 441522156 515109182 772663773 1030218364 1508534033 1545327546 3017068066 3090655092 4525602099 6034136132 9051204198 10559738231 18102408396 21119476462 31679214693 42238952924 63358429386 126716858772