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200997098929 = 1125327692
BaseRepresentation
bin1011101100110001011…
…1000101010110110001
3201012210211111120002101
42323030113011112301
511243120224131204
6232200425220401
720343616102654
oct2731427052661
9635724446071
10200997098929
1178273693400
1232b55631701
1315c52a81a43
149a2a6b589b
155365c80ea4
hex2ecc5c55b1

200997098929 has 27 divisors (see below), whose sum is σ = 225471050049. Its totient is φ = 179043870720.

The previous prime is 200997098921. The next prime is 200997099007. The reversal of 200997098929 is 929890799002.

The square root of 200997098929 is 448327.

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 2840357025 + 198156741904 = 53295^2 + 445148^2 .

It is not a de Polignac number, because 200997098929 - 23 = 200997098921 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200997098921) 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, 261374257 + ... + 261375025.

Almost surely, 2200997098929 is an apocalyptic number.

200997098929 is the 448327-th square number.

200997098929 is the 224164-th centered octagonal number.

It is an amenable number.

200997098929 is a deficient number, since it is larger than the sum of its proper divisors (24473951120).

200997098929 is an frugal number, since it uses more digits than its factorization.

200997098929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 13226976, while the sum is 64.

Multiplying 200997098929 by its sum of digits (64), we get a square (12863814331456 = 35866162).

The spelling of 200997098929 in words is "two hundred billion, nine hundred ninety-seven million, ninety-eight thousand, nine hundred twenty-nine".

Divisors: 1 11 53 121 583 769 2809 6413 8459 30899 40757 93049 339889 448327 591361 2160121 4931597 6504971 23761331 31342133 71554681 261374641 344763463 1661133049 3792398093 18272463539 200997098929