Search a number
-
+
749768625024 = 27383173135979
BaseRepresentation
bin10101110100100011011…
…00010100101110000000
32122200021122221111120020
422322101230110232000
544241011232000044
61332234451413440
7105111652105446
oct12722154245600
92580248844506
10749768625024
11269a7a92a261
12101387bb4280
135591a2b88a3
1428409006b96
1514783496a19
hexae91b14b80

749768625024 has 128 divisors (see below), whose sum is σ = 2027233353600. Its totient is φ = 245482715136.

The previous prime is 749768625013. The next prime is 749768625029. The reversal of 749768625024 is 420526867947.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749768625029) 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 15 ways as a sum of consecutive naturals, for example, 5445867 + ... + 5581845.

It is an arithmetic number, because the mean of its divisors is an integer number (15837760575).

Almost surely, 2749768625024 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 749768625024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013616676800).

749768625024 is an abundant number, since it is smaller than the sum of its proper divisors (1277464728576).

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

749768625024 is a wasteful number, since it uses less digits than its factorization.

749768625024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136252 (or 136240 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 749768625024 in words is "seven hundred forty-nine billion, seven hundred sixty-eight million, six hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 173 192 249 332 346 384 498 519 664 692 996 1038 1328 1384 1992 2076 2656 2768 3984 4152 5312 5536 7968 8304 10624 11072 14359 15936 16608 22144 28718 31872 33216 43077 57436 66432 86154 114872 135979 172308 229744 271958 344616 407937 459488 543916 689232 815874 918976 1087832 1378464 1631748 1837952 2175664 2756928 3263496 4351328 5513856 6526992 8702656 11286257 13053984 17405312 22572514 23524367 26107968 33858771 45145028 47048734 52215936 67717542 70573101 90290056 94097468 135435084 141146202 180580112 188194936 270870168 282292404 361160224 376389872 541740336 564584808 722320448 752779744 1083480672 1129169616 1444640896 1505559488 1952522461 2166961344 2258339232 3011118976 3905044922 4333922688 4516678464 5857567383 7810089844 9033356928 11715134766 15620179688 23430269532 31240359376 46860539064 62480718752 93721078128 124961437504 187442156256 249922875008 374884312512 749768625024