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5630587968996 = 223424125472
BaseRepresentation
bin101000111101111100100…
…1100100001110111100100
3201221021112100122000010000
41101323321030201313210
51214222421010001441
615550353441101300
71120540135026264
oct121737114416744
921837470560100
105630587968996
111880a12134981
1276b2b4627830
1331ac67b5c2c3
141567441a97a4
159b6e7b0b2b6
hex51ef9321de4

5630587968996 has 135 divisors (see below), whose sum is σ = 14807870201817. Its totient is φ = 1865657888640.

The previous prime is 5630587968979. The next prime is 5630587969043. The reversal of 5630587968996 is 6998697850365.

The square root of 5630587968996 is 2372886.

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

It can be written as a sum of positive squares in only one way, i.e., 4234598458596 + 1395989510400 = 2057814^2 + 1181520^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10293579195 + ... + 10293579741.

Almost surely, 25630587968996 is an apocalyptic number.

5630587968996 is the 2372886-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5630587968996

5630587968996 is an abundant number, since it is smaller than the sum of its proper divisors (9177282232821).

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

5630587968996 is an frugal number, since it uses more digits than its factorization.

5630587968996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

Multiplying 5630587968996 by its sum of digits (81), we get a square (456077625488676 = 213559742).

5630587968996 divided by its sum of digits (81) gives a square (69513431716 = 2636542).

The spelling of 5630587968996 in words is "five trillion, six hundred thirty billion, five hundred eighty-seven million, nine hundred sixty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 324 482 547 723 964 1094 1446 1641 2169 2188 2892 3282 4338 4923 6507 6564 8676 9846 13014 14769 19521 19692 26028 29538 39042 44307 58081 59076 78084 88614 116162 131827 174243 177228 232324 263654 299209 348486 395481 522729 527308 598418 696972 790962 897627 1045458 1186443 1196836 1568187 1581924 1795254 2090916 2372886 2692881 3136374 3559329 3590508 4704561 4745772 5385762 6272748 7118658 8078643 9409122 10677987 10771524 14237316 16157286 18818244 21355974 24235929 31770307 32314572 42711948 48471858 63540614 72109369 95310921 96943716 127081228 144218738 190621842 216328107 285932763 288437476 381243684 432656214 571865526 648984321 857798289 865312428 1143731052 1297968642 1715596578 1946952963 2573394867 2595937284 3431193156 3893905926 5146789734 5840858889 7787811852 10293579468 11681717778 17378357929 23363435556 34756715858 52135073787 69513431716 104270147574 156405221361 208540295148 312810442722 469215664083 625620885444 938431328166 1407646992249 1876862656332 2815293984498 5630587968996