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197001047104 = 2610925092
BaseRepresentation
bin1011011101111000101…
…1010110110001000000
3200211111100020002111221
42313132023112301000
511211424232001404
6230300120044424
720142604162051
oct2673613266100
9624440202457
10197001047104
1176602a56534
123221b303714
1315766c13434
14976baac728
1551d003a954
hex2dde2d6c40

197001047104 has 63 divisors (see below), whose sum is σ = 395319971487. Its totient is φ = 97405106688.

The previous prime is 197001047101. The next prime is 197001047129. The reversal of 197001047104 is 401740100791.

The square root of 197001047104 is 443848.

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

197001047104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 52236016704 + 144765030400 = 228552^2 + 380480^2 .

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 197001047104.

It is not an unprimeable number, because it can be changed into a prime (197001047101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 387035202 + ... + 387035710.

Almost surely, 2197001047104 is an apocalyptic number.

197001047104 is the 443848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197001047104

197001047104 is an abundant number, since it is smaller than the sum of its proper divisors (198318924383).

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

197001047104 is an frugal number, since it uses more digits than its factorization.

197001047104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

Adding to 197001047104 its reverse (401740100791), we get a palindrome (598741147895).

The spelling of 197001047104 in words is "one hundred ninety-seven billion, one million, forty-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 109 218 436 509 872 1018 1744 2036 3488 4072 6976 8144 11881 16288 23762 32576 47524 55481 95048 110962 190096 221924 259081 380192 443848 518162 760384 887696 1036324 1775392 2072648 3550784 4145296 6047429 8290592 12094858 16581184 24189716 28239829 48379432 56479658 96758864 112959316 193517728 225918632 387035456 451837264 903674528 1807349056 3078141361 6156282722 12312565444 24625130888 49250261776 98500523552 197001047104