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196195996872 = 2332522012
BaseRepresentation
bin1011011010111000110…
…0010101010011001000
3200202102020101022012200
42312232030111103020
511203302133344442
6230044201040200
720113630312611
oct2665614252310
9622366338180
10196195996872
117622a586367
1232035786060
13156691b2955
1496d2bcac08
15518451734c
hex2dae3154c8

196195996872 has 36 divisors (see below), whose sum is σ = 531374337585. Its totient is φ = 65397412800.

The previous prime is 196195996831. The next prime is 196195996877. The reversal of 196195996872 is 278699591691.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

196195996872 is a `hidden beast` number, since 19 + 6 + 19 + 599 + 6 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167990137956 + 28205858916 = 409866^2 + 167946^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=313206.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 196195996872.

It is not an unprimeable number, because it can be changed into a prime (196195996877) 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, 3732372 + ... + 3784572.

Almost surely, 2196195996872 is an apocalyptic number.

196195996872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

196195996872 is an abundant number, since it is smaller than the sum of its proper divisors (335178340713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196195996872 is an frugal number, since it uses more digits than its factorization.

196195996872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104414 (or 52206 counting only the distinct ones).

The product of its digits is 132269760, while the sum is 72.

Multiplying 196195996872 by its sum of digits (72), we get a square (14126111774784 = 37584722).

196195996872 divided by its sum of digits (72) gives a square (2724944401 = 522012).

The spelling of 196195996872 in words is "one hundred ninety-six billion, one hundred ninety-five million, nine hundred ninety-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 52201 104402 156603 208804 313206 417608 469809 626412 939618 1252824 1879236 3758472 2724944401 5449888802 8174833203 10899777604 16349666406 21799555208 24524499609 32699332812 49048999218 65398665624 98097998436 196195996872