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196735071907984 = 242321524592
BaseRepresentation
bin101100101110110111110100…
…000100110111000010010000
3221210120200121102102021112011
4230232313310010313002100
5201241301411402023414
61534230502213312304
756303432324402461
oct5456676404670220
9853520542367464
10196735071907984
115775a96a2459a5
121a0946a9635694
1385a1064a1016c
143682057892d68
1517b27e61c2dc4
hexb2edf4137090

196735071907984 has 45 divisors (see below), whose sum is σ = 398470162974163. Its totient is φ = 94090069410656.

The previous prime is 196735071907981. The next prime is 196735071907987. The reversal of 196735071907984 is 489709170537691.

The square root of 196735071907984 is 14026228.

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

It is an interprime number because it is at equal distance from previous prime (196735071907981) and next prime (196735071907987).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 196735071907984.

It is not an unprimeable number, because it can be changed into a prime (196735071907981) 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 8 ways as a sum of consecutive naturals, for example, 1290336747 + ... + 1290489205.

Almost surely, 2196735071907984 is an apocalyptic number.

196735071907984 is the 14026228-th square number.

It is an amenable number.

196735071907984 is an abundant number, since it is smaller than the sum of its proper divisors (201735091066179).

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

196735071907984 is an frugal number, since it uses more digits than its factorization.

196735071907984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304972 (or 152484 counting only the distinct ones).

The product of its (nonzero) digits is 720135360, while the sum is 76.

The spelling of 196735071907984 in words is "one hundred ninety-six trillion, seven hundred thirty-five billion, seventy-one million, nine hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 2116 4232 8464 152459 304918 609836 1219672 2439344 3506557 7013114 14026228 28052456 56104912 80650811 161301622 322603244 645206488 1290412976 23243746681 46487493362 92974986724 185949973448 371899946896 534606173663 1069212347326 2138424694652 4276849389304 8553698778608 12295941994249 24591883988498 49183767976996 98367535953992 196735071907984