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197755087501764 = 22321321802892
BaseRepresentation
bin101100111101101101110001…
…101111100011100111000100
3221221012012110001201012220100
4230331231301233203213010
5201410004404400024024
61540331233311404100
756440222264033362
oct5475556157434704
9857165401635810
10197755087501764
1158013509480731
121a21a316823630
1386462bc983300
1436b957c2c0632
1517ce0e4c357c9
hexb3db71be39c4

197755087501764 has 81 divisors (see below), whose sum is σ = 541294171364583. Its totient is φ = 60847381730304.

The previous prime is 197755087501753. The next prime is 197755087501799. The reversal of 197755087501764 is 467105780557791.

The square root of 197755087501764 is 14062542.

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

197755087501764 is a `hidden beast` number, since 1 + 9 + 7 + 7 + 5 + 50 + 8 + 7 + 501 + 7 + 64 = 666.

197755087501764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 48765888900 + 197706321612864 = 220830^2 + 14060808^2 .

It is a super-2 number, since 2×1977550875017642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 197755087501692 and 197755087501701.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1096788132 + ... + 1096968420.

Almost surely, 2197755087501764 is an apocalyptic number.

197755087501764 is the 14062542-nd square number.

It is an amenable number.

197755087501764 is an abundant number, since it is smaller than the sum of its proper divisors (343539083862819).

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

197755087501764 is an frugal number, since it uses more digits than its factorization.

197755087501764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360614 (or 180307 counting only the distinct ones).

The product of its (nonzero) digits is 518616000, while the sum is 72.

It can be divided in two parts, 19775508 and 7501764, that added together give a palindrome (27277272).

The spelling of 197755087501764 in words is "one hundred ninety-seven trillion, seven hundred fifty-five billion, eighty-seven million, five hundred one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 180289 360578 540867 721156 1081734 1622601 2163468 2343757 3245202 4687514 6490404 7031271 9375028 14062542 21093813 28125084 30468841 42187626 60937682 84375252 91406523 121875364 182813046 274219569 365626092 548439138 1096878276 32504123521 65008247042 97512370563 130016494084 195024741126 292537111689 390049482252 422553605773 585074223378 845107211546 1170148446756 1267660817319 1690214423092 2535321634638 3802982451957 5070643269276 5493196875049 7605964903914 10986393750098 15211929807828 16479590625147 21972787500196 32959181250294 49438771875441 65918362500588 98877543750882 197755087501764