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196374832164 = 22347235172
BaseRepresentation
bin1011011011100011011…
…0100010010000100100
3200202212200220002010000
42312320312202100210
511204133424112124
6230114030101300
720121231350400
oct2667066422044
9622780802100
10196374832164
1176311522a25
123208564a830
1315697269654
14970c860100
1551950906c9
hex2db8da2424

196374832164 has 135 divisors (see below), whose sum is σ = 597346749153. Its totient is φ = 56091141792.

The previous prime is 196374832153. The next prime is 196374832183. The reversal of 196374832164 is 461238473691.

The square root of 196374832164 is 443142.

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

196374832164 is a `hidden beast` number, since 196 + 3 + 74 + 8 + 321 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 188416764900 + 7958067264 = 434070^2 + 89208^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 196374832164.

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 44 ways as a sum of consecutive naturals, for example, 55834134 + ... + 55837650.

Almost surely, 2196374832164 is an apocalyptic number.

196374832164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

196374832164 is the 443142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196374832164

196374832164 is an abundant number, since it is smaller than the sum of its proper divisors (400971916989).

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

196374832164 is an frugal number, since it uses more digits than its factorization.

196374832164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064 (or 3529 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 196374832164 in words is "one hundred ninety-six billion, three hundred seventy-four million, eight hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3517 3969 5292 7034 7938 10551 14068 15876 21102 24619 31653 42204 49238 63306 73857 94959 98476 126612 147714 172333 189918 221571 284877 295428 344666 379836 443142 516999 569754 664713 689332 886284 1033998 1139508 1329426 1550997 1994139 2067996 2658852 3101994 3988278 4652991 6203988 7976556 9305982 12369289 13958973 18611964 24738578 27917946 37107867 49477156 55835892 74215734 86585023 111323601 148431468 173170046 222647202 259755069 333970803 346340092 445294404 519510138 606095161 667941606 779265207 1001912409 1039020276 1212190322 1335883212 1558530414 1818285483 2003824818 2337795621 2424380644 3117060828 3636570966 4007649636 4675591242 5454856449 7013386863 7273141932 9351182484 10909712898 14026773726 16364569347 21819425796 28053547452 32729138694 49093708041 65458277388 98187416082 196374832164