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126958755976 = 2313231372391621
BaseRepresentation
bin111011000111101010…
…1001110000010001000
3110010200222022001010021
41312033111032002020
54040002420142401
6134153554430224
712113104422463
oct1661725160210
9403628261107
10126958755976
114992a9a9518
1220732292374
13bc83aac460
1462056082da
153480d742a1
hex1d8f54e088

126958755976 has 128 divisors (see below), whose sum is σ = 270752025600. Its totient is φ = 55372584960.

The previous prime is 126958755949. The next prime is 126958755977. The reversal of 126958755976 is 679557859621.

It is a super-2 number, since 2×1269587559762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126958755977) 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, 78320446 + ... + 78322066.

It is an arithmetic number, because the mean of its divisors is an integer number (2115250200).

Almost surely, 2126958755976 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 126958755976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135376012800).

126958755976 is an abundant number, since it is smaller than the sum of its proper divisors (143793269624).

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

126958755976 is a wasteful number, since it uses less digits than its factorization.

126958755976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2035 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 70.

The spelling of 126958755976 in words is "one hundred twenty-six billion, nine hundred fifty-eight million, seven hundred fifty-five thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 137 184 239 274 299 478 548 598 956 1096 1196 1621 1781 1912 2392 3107 3151 3242 3562 5497 6214 6302 6484 7124 10994 12428 12604 12968 14248 21073 21988 24856 25208 32743 37283 40963 42146 43976 65486 71461 74566 81926 84292 130972 142922 149132 163852 168584 222077 261944 285844 298264 327704 387419 425659 444154 484679 571688 753089 774838 851318 888308 969358 1506178 1549676 1702636 1776616 1938716 2887001 3012356 3099352 3405272 3877432 5036447 5107771 5774002 6024712 8910637 9790157 10072894 10215542 11548004 17821274 19580314 20145788 20431084 23096008 35642548 39160628 40291576 40862168 53076403 66401023 71285096 78321256 106152806 115838281 132802046 212305612 231676562 265604092 424611224 463353124 531208184 689993239 926706248 1220757269 1379986478 2441514538 2759972956 4883029076 5519945912 9766058152 15869844497 31739688994 63479377988 126958755976