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196663867024 = 2429238232
BaseRepresentation
bin1011011100101000010…
…1000111011010010000
3200210121211202120101211
42313022011013122100
511210231422221044
6230202433105504
720131341200542
oct2671205073220
9623554676354
10196663867024
117644a698109
12321463b8294
13157120c84b1
149738dbb692
1551b0635634
hex2dca147690

196663867024 has 45 divisors (see below), whose sum is σ = 394731750153. Its totient is φ = 94916342976.

The previous prime is 196663867009. The next prime is 196663867033. The reversal of 196663867024 is 420768366691.

It is a happy number.

The square root of 196663867024 is 443468.

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

It can be written as a sum of positive squares in only one way, i.e., 103125761424 + 93538105600 = 321132^2 + 305840^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

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 196663867024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51440377 + ... + 51444199.

Almost surely, 2196663867024 is an apocalyptic number.

196663867024 is the 443468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196663867024

196663867024 is an abundant number, since it is smaller than the sum of its proper divisors (198067883129).

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

196663867024 is an frugal number, since it uses more digits than its factorization.

196663867024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 58.

The spelling of 196663867024 in words is "one hundred ninety-six billion, six hundred sixty-three million, eight hundred sixty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 841 1682 3364 3823 6728 7646 13456 15292 30584 61168 110867 221734 443468 886936 1773872 3215143 6430286 12860572 14615329 25721144 29230658 51442288 58461316 116922632 233845264 423844541 847689082 1695378164 3390756328 6781512656 12291491689 24582983378 49165966756 98331933512 196663867024