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1957097475369 = 324663212
BaseRepresentation
bin11100011110101100000…
…110011000110100101001
320221002121111011210012100
4130132230012120310221
5224031113423202434
64055024515004013
7261252462030231
oct34365406306451
96832544153170
101957097475369
1169500055a063
1227736bb99609
13112727068c1a
146aa1ca10cc1
1535d967a8699
hex1c7ac198d29

1957097475369 has 9 divisors (see below), whose sum is σ = 2826924637719. Its totient is φ = 1304728852320.

The previous prime is 1957097475343. The next prime is 1957097475373. The reversal of 1957097475369 is 9635747907591.

The square root of 1957097475369 is 1398963.

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

1957097475369 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 0 + 97 + 475 + 3 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 259705409769 + 1697392065600 = 509613^2 + 1302840^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1957097475369 - 213 = 1957097467177 is a prime.

It is a super-2 number, since 2×19570974753692 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1957097475297 and 1957097475306.

It is not an unprimeable number, because it can be changed into a prime (1957097475329) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3963729 + ... + 4430049.

Almost surely, 21957097475369 is an apocalyptic number.

1957097475369 is the 1398963-rd square number.

1957097475369 is the 699482-nd centered octagonal number.

It is an amenable number.

1957097475369 is a deficient number, since it is larger than the sum of its proper divisors (869827162350).

1957097475369 is an frugal number, since it uses more digits than its factorization.

1957097475369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932648 (or 466324 counting only the distinct ones).

The product of its (nonzero) digits is 450084600, while the sum is 72.

The spelling of 1957097475369 in words is "one trillion, nine hundred fifty-seven billion, ninety-seven million, four hundred seventy-five thousand, three hundred sixty-nine".

Divisors: 1 3 9 466321 1398963 4196889 217455275041 652365825123 1957097475369