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196957552401 = 3854792
BaseRepresentation
bin1011011101101110010…
…1011011111100010001
3200211101022101100000000
42313123211123330101
511211332113134101
6230251523520213
720141535400251
oct2673345337421
9624338340000
10196957552401
11765904492a5
1232208829069
131575abc501c
149765dc9961
1551cb2e8486
hex2ddb95bf11

196957552401 has 27 divisors (see below), whose sum is σ = 295475247561. Its totient is φ = 131281069788.

The previous prime is 196957552339. The next prime is 196957552403. The reversal of 196957552401 is 104255759691.

The square root of 196957552401 is 443799.

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

196957552401 is a `hidden beast` number, since 1 + 9 + 69 + 57 + 5 + 524 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 196957552401 - 211 = 196957550353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (196957552403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35944980 + ... + 35950458.

Almost surely, 2196957552401 is an apocalyptic number.

196957552401 is the 443799-th square number.

196957552401 is the 221900-th centered octagonal number.

It is an amenable number.

196957552401 is a deficient number, since it is larger than the sum of its proper divisors (98517695160).

196957552401 is an frugal number, since it uses more digits than its factorization.

196957552401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10982 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 196957552401 in words is "one hundred ninety-six billion, nine hundred fifty-seven million, five hundred fifty-two thousand, four hundred one".

Divisors: 1 3 9 27 81 243 729 2187 5479 6561 16437 49311 147933 443799 1331397 3994191 11982573 30019441 35947719 90058323 270174969 810524907 2431574721 7294724163 21884172489 65652517467 196957552401