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5632391506756 = 22746123972
BaseRepresentation
bin101000111110110010010…
…1100011110101101000100
3201221110012001022012210211
41101331210230132231010
51214240114211204011
615551252425125204
71120632624610000
oct121754454365504
921843161265724
105632391506756
111881758195553
1276b718629804
1331b1946ba701
14156875923700
159b7a1112b21
hex51f64b1eb44

5632391506756 has 135 divisors (see below), whose sum is σ = 11719897610967. Its totient is φ = 2368329606720.

The previous prime is 5632391506741. The next prime is 5632391506757. The reversal of 5632391506756 is 6576051932365.

The square root of 5632391506756 is 2373266.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 980674284100 + 4651717222656 = 990290^2 + 2156784^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5632391506756.

It is not an unprimeable number, because it can be changed into a prime (5632391506757) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14187383950 + ... + 14187384346.

Almost surely, 25632391506756 is an apocalyptic number.

5632391506756 is the 2373266-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5632391506756

5632391506756 is an abundant number, since it is smaller than the sum of its proper divisors (6087506104211).

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

5632391506756 is an frugal number, since it uses more digits than its factorization.

5632391506756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 58.

The spelling of 5632391506756 in words is "five trillion, six hundred thirty-two billion, three hundred ninety-one million, five hundred six thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 244 343 397 427 686 794 854 1372 1588 1708 2401 2779 2989 3721 4802 5558 5978 7442 9604 11116 11956 14884 19453 20923 24217 26047 38906 41846 48434 52094 77812 83692 96868 104188 136171 146461 157609 169519 182329 272342 292922 315218 339038 364658 544684 585844 630436 678076 729316 953197 1103263 1186633 1276303 1477237 1906394 2206526 2373266 2552606 2954474 3812788 4413052 4746532 5105212 5908948 7722841 8306431 8934121 9614149 10340659 15445682 16612862 17868242 19228298 20681318 30891364 33225724 35736484 38456596 41362636 54059887 58145017 67299043 72384613 108119774 116290034 134598086 144769226 216239548 232580068 269196172 289538452 378419209 471093301 506692291 586463089 756838418 942186602 1013384582 1172926178 1513676836 1884373204 2026769164 2345852356 3297653107 3546846037 4105241623 6595306214 7093692074 8210483246 13190612428 14187384148 16420966492 23083571749 28736691361 46167143498 57473382722 92334286996 114946765444 201156839527 402313679054 804627358108 1408097876689 2816195753378 5632391506756