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10097637169 = 1722322572
BaseRepresentation
bin10010110011101110…
…11011011100110001
3222001201111010010211
421121313123130301
5131134443342134
64345551224121
7505141333264
oct113167333461
928051433124
1010097637169
114311942294
121b59818041
13c4bcb4649
146bb0dacdb
153e1747764
hex259ddb731

10097637169 has 27 divisors (see below), whose sum is σ = 11257005697. Its totient is φ = 9055084544.

The previous prime is 10097637167. The next prime is 10097637259. The reversal of 10097637169 is 96173679001.

The square root of 10097637169 is 100487.

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 6738275569 + 3359361600 = 82087^2 + 57960^2 .

It is not a de Polignac number, because 10097637169 - 21 = 10097637167 is a prime.

It is a super-2 number, since 2×100976371692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10097637163) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39290289 + ... + 39290545.

Almost surely, 210097637169 is an apocalyptic number.

10097637169 is the 100487-th square number.

10097637169 is the 50244-th centered octagonal number.

It is an amenable number.

10097637169 is a deficient number, since it is larger than the sum of its proper divisors (1159368528).

10097637169 is an frugal number, since it uses more digits than its factorization.

10097637169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 49.

Multiplying 10097637169 by its sum of digits (49), we get a square (494784221281 = 7034092).

The spelling of 10097637169 in words is "ten billion, ninety-seven million, six hundred thirty-seven thousand, one hundred sixty-nine".

Divisors: 1 17 23 257 289 391 529 4369 5911 6647 8993 66049 74273 100487 135953 152881 1122833 1519127 1708279 2311201 19088161 25825159 34939921 39290417 439027703 593978657 10097637169