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199620410521 = 728327692
BaseRepresentation
bin1011100111101001001…
…1011011110010011001
3201002020220000112121211
42321322103123302121
511232310311114041
6231412050103121
720264531331100
oct2717223336231
9632226015554
10199620410521
1177727576a94
123283057aaa1
1315a937a5b0c
149939911037
1552d4e93481
hex2e7a4dbc99

199620410521 has 27 divisors (see below), whose sum is σ = 235348979391. Its totient is φ = 168821904384.

The previous prime is 199620410503. The next prime is 199620410527. The reversal of 199620410521 is 125014026991.

The square root of 199620410521 is 446789.

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., 78098450521 + 121521960000 = 279461^2 + 348600^2 .

It is not a de Polignac number, because 199620410521 - 217 = 199620279449 is a prime.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199620410527) 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, 259584025 + ... + 259584793.

Almost surely, 2199620410521 is an apocalyptic number.

199620410521 is the 446789-th square number.

199620410521 is the 223395-th centered octagonal number.

It is an amenable number.

199620410521 is a deficient number, since it is larger than the sum of its proper divisors (35728568870).

199620410521 is an frugal number, since it uses more digits than its factorization.

199620410521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 199620410521 in words is "one hundred ninety-nine billion, six hundred twenty million, four hundred ten thousand, five hundred twenty-one".

Divisors: 1 7 49 83 581 769 4067 5383 6889 37681 48223 63827 337561 446789 591361 3127523 4139527 5297641 28976689 37083487 49082963 259584409 343580741 2405065187 4073885929 28517201503 199620410521