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126420665424 = 24341471366769
BaseRepresentation
bin111010110111101000…
…0100100010001010000
3110002022110210012122120
41311233100210101100
54032402142243144
6134024333334240
712063551632404
oct1655720442120
9402273705576
10126420665424
1149684196089
1220602037380
13bbc947b991
146193d79104
15344d9d4e19
hex1d6f424450

126420665424 has 80 divisors (see below), whose sum is σ = 341670631680. Its totient is φ = 40237649920.

The previous prime is 126420665353. The next prime is 126420665429. The reversal of 126420665424 is 424566024621.

126420665424 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126420665429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590889 + ... + 775880.

It is an arithmetic number, because the mean of its divisors is an integer number (4270882896).

Almost surely, 2126420665424 is an apocalyptic number.

It is an amenable number.

126420665424 is an abundant number, since it is smaller than the sum of its proper divisors (215249966256).

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

126420665424 is a wasteful number, since it uses less digits than its factorization.

126420665424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366868 (or 1366862 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 126420665424 in words is "one hundred twenty-six billion, four hundred twenty million, six hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 47 48 82 94 123 141 164 188 246 282 328 376 492 564 656 752 984 1128 1927 1968 2256 3854 5781 7708 11562 15416 23124 30832 46248 92496 1366769 2733538 4100307 5467076 8200614 10934152 16401228 21868304 32802456 56037529 64238143 65604912 112075058 128476286 168112587 192714429 224150116 256952572 336225174 385428858 448300232 513905144 672450348 770857716 896600464 1027810288 1344900696 1541715432 2633763863 2689801392 3083430864 5267527726 7901291589 10535055452 15802583178 21070110904 31605166356 42140221808 63210332712 126420665424