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897017352100 = 225253217872
BaseRepresentation
bin11010000110110100110…
…01101000111110100100
310011202100200101212111121
431003122121220332210
5104144042420231400
61524030054543324
7121543632455032
oct15033231507644
93152320355447
10897017352100
11316471a01331
12125a21367b44
136678586b9ac
14315b7219552
151850076421a
hexd0da668fa4

897017352100 has 81 divisors (see below), whose sum is σ = 1985058384547. Its totient is φ = 351839999680.

The previous prime is 897017352071. The next prime is 897017352137. The reversal of 897017352100 is 1253710798.

The square root of 897017352100 is 947110.

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

897017352100 is digitally balanced in base 2, 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 6757168804 + 890260183296 = 82202^2 + 943536^2 .

It is a super-3 number, since 3×8970173521003 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

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, 501967407 + ... + 501969193.

Almost surely, 2897017352100 is an apocalyptic number.

897017352100 is the 947110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 897017352100

897017352100 is an abundant number, since it is smaller than the sum of its proper divisors (1088041032447).

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

897017352100 is an equidigital number, since it uses as much as digits as its factorization.

897017352100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 897017352100 in words is "eight hundred ninety-seven billion, seventeen million, three hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 1787 2650 2809 3574 5300 5618 7148 8935 11236 14045 17870 28090 35740 44675 56180 70225 89350 94711 140450 178700 189422 280900 378844 473555 947110 1894220 2367775 3193369 4735550 5019683 6386738 9471100 10039366 12773476 15966845 20078732 25098415 31933690 50196830 63867380 79834225 100393660 125492075 159668450 169248557 250984150 319336900 338497114 501968300 676994228 846242785 1692485570 3384971140 4231213925 8462427850 8970173521 16924855700 17940347042 35880694084 44850867605 89701735210 179403470420 224254338025 448508676050 897017352100