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198380210732001 = 3246949172
BaseRepresentation
bin101101000110110011111101…
…111111011011101111100001
3222000101221222222100121022100
4231012303331333123233201
5202000230132421411001
61541530335524001013
756533332361566534
oct5506637577335741
9860357888317270
10198380210732001
1158234636218a21
121a2bb4b7230169
13869023453230c
1436db921028a1b
1517e04d04b8586
hexb46cfdfdbbe1

198380210732001 has 9 divisors (see below), whose sum is σ = 286549254313491. Its totient is φ = 132253445651832.

The previous prime is 198380210731993. The next prime is 198380210732059. The reversal of 198380210732001 is 100237012083891.

The square root of 198380210732001 is 14084751.

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

198380210732001 is a `hidden beast` number, since 1 + 98 + 3 + 80 + 210 + 73 + 200 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8825801180625 + 189554409551376 = 2970825^2 + 13767876^2 .

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

It is not a de Polignac number, because 198380210732001 - 23 = 198380210731993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (198380210732701) 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, 39906795 + ... + 44601711.

Almost surely, 2198380210732001 is an apocalyptic number.

198380210732001 is the 14084751-st square number.

198380210732001 is the 7042376-th centered octagonal number.

It is an amenable number.

198380210732001 is a deficient number, since it is larger than the sum of its proper divisors (88169043581490).

198380210732001 is an frugal number, since it uses more digits than its factorization.

198380210732001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9389840 (or 4694920 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 198380210732001 in words is "one hundred ninety-eight trillion, three hundred eighty billion, two hundred ten million, seven hundred thirty-two thousand, one".

Divisors: 1 3 9 4694917 14084751 42254253 22042245636889 66126736910667 198380210732001