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56404460600 = 23522922742841
BaseRepresentation
bin110100100001111101…
…111100010000111000
312101120220221110221022
4310201331330100320
51411004020214400
641524543202012
74034520001355
oct644175742070
9171526843838
1056404460600
1121a149360a4
12ab218a6308
13541b87c497
142a3114562c
151701c72b85
hexd21f7c438

56404460600 has 96 divisors (see below), whose sum is σ = 136263265200. Its totient is φ = 21687321600.

The previous prime is 56404460557. The next prime is 56404460617. The reversal of 56404460600 is 606440465.

56404460600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1295180 + ... + 1338020.

Almost surely, 256404460600 is an apocalyptic number.

56404460600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56404460600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68131632600).

56404460600 is an abundant number, since it is smaller than the sum of its proper divisors (79858804600).

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

56404460600 is a wasteful number, since it uses less digits than its factorization.

56404460600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43113 (or 43104 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 56404460600 in words is "fifty-six billion, four hundred four million, four hundred sixty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 227 232 290 454 580 725 908 1135 1160 1450 1816 2270 2900 4540 5675 5800 6583 9080 11350 13166 22700 26332 32915 42841 45400 52664 65830 85682 131660 164575 171364 214205 263320 329150 342728 428410 658300 856820 1071025 1242389 1316600 1713640 2142050 2484778 4284100 4969556 6211945 8568200 9724907 9939112 12423890 19449814 24847780 31059725 38899628 48624535 49695560 62119450 77799256 97249070 124238900 194498140 243122675 248477800 282022303 388996280 486245350 564044606 972490700 1128089212 1410111515 1944981400 2256178424 2820223030 5640446060 7050557575 11280892120 14101115150 28202230300 56404460600