Search a number
-
+
744307835020 = 2251973116323071
BaseRepresentation
bin10101101010011000011…
…01000100000010001100
32122011012002111121221121
422311030031010002030
544143320301210040
61325532540010324
7104526433132051
oct12651415040214
92564162447847
10744307835020
11267728406972
121003032309a4
1355259b52cb9
142804ba79028
1514563d6ec4a
hexad4c34408c

744307835020 has 96 divisors (see below), whose sum is σ = 1669357025280. Its totient is φ = 277938501120.

The previous prime is 744307835017. The next prime is 744307835027. The reversal of 744307835020 is 20538703447.

It is not an unprimeable number, because it can be changed into a prime (744307835027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32250085 + ... + 32273155.

It is an arithmetic number, because the mean of its divisors is an integer number (17389135680).

Almost surely, 2744307835020 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 744307835020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834678512640).

744307835020 is an abundant number, since it is smaller than the sum of its proper divisors (925049190260).

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

744307835020 is a wasteful number, since it uses less digits than its factorization.

744307835020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24335 (or 24333 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 744307835020 in words is "seven hundred forty-four billion, three hundred seven million, eight hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1163 1387 1460 2326 2774 4652 5548 5815 6935 11630 13870 22097 23071 23260 27740 44194 46142 84899 88388 92284 110485 115355 169798 220970 230710 339596 424495 438349 441940 461420 848990 876698 1613081 1684183 1697980 1753396 2191745 3226162 3368366 4383490 6452324 6736732 8065405 8420915 8766980 16130810 16841830 26831573 31999477 32261620 33683660 53663146 63998954 107326292 127997908 134157865 159997385 268315730 319994770 509799887 536631460 639989540 1019599774 1958704829 2039199548 2548999435 3917409658 5097998870 7834819316 9793524145 10195997740 19587048290 37215391751 39174096580 74430783502 148861567004 186076958755 372153917510 744307835020