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721424424127 = 111719231438017
BaseRepresentation
bin10100111111110000011…
…11110001110010111111
32112222010022022220112211
422133320033301302333
543304434123033002
61311230125041251
7103056366266311
oct12377017616277
92488108286484
10721424424127
11258a55309640
12b79976b6227
1353050c95394
1426cba8597b1
1513b74ddedd7
hexa7f83f1cbf

721424424127 has 96 divisors (see below), whose sum is σ = 929067853824. Its totient is φ = 552680755200.

The previous prime is 721424424103. The next prime is 721424424131.

721424424127 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-721424424127 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 721424424127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (721424424157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89982823 + ... + 89990839.

It is an arithmetic number, because the mean of its divisors is an integer number (9677790144).

Almost surely, 2721424424127 is an apocalyptic number.

721424424127 is a deficient number, since it is larger than the sum of its proper divisors (207643429697).

721424424127 is a wasteful number, since it uses less digits than its factorization.

721424424127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8157 (or 8138 counting only the distinct ones).

The product of its digits is 200704, while the sum is 40.

The spelling of 721424424127 in words is "seven hundred twenty-one billion, four hundred twenty-four million, four hundred twenty-four thousand, one hundred twenty-seven".

Divisors: 1 11 17 19 31 43 187 209 323 341 361 473 527 589 731 817 1333 3553 3971 5797 6137 6479 8017 8041 8987 10013 11191 13889 14663 15523 22661 25327 67507 88187 110143 123101 136289 152323 152779 170753 190247 248527 249271 263891 278597 344731 430559 481213 1499179 1675553 2092717 2589491 2733797 2894137 2902801 3792041 4224959 4722013 4736149 5293343 5860427 6549889 8180621 10686661 28484401 31835507 46474549 49200329 51942143 64464697 72048779 80274221 89718247 89986831 111348113 117553271 124447891 181673237 203046559 541203619 883016431 986900717 1224829243 1368926801 1525210199 1998405607 2115614147 2233512149 3451791503 3857884621 16777312189 23271755617 37969706533 42436730831 65584038557 721424424127