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1968972325 = 521572332153
BaseRepresentation
bin111010101011100…
…0010001000100101
312002012222011020221
41311113002020211
513013024103300
6523213524341
766535663045
oct16527021045
95065864227
101968972325
11920485061
1246b4a36b1
13254c026a8
141496dd725
15b7cd431a
hex755c2225

1968972325 has 24 divisors (see below), whose sum is σ = 2468768328. Its totient is φ = 1557703680.

The previous prime is 1968972323. The next prime is 1968972329. The reversal of 1968972325 is 5232798691.

It can be written as a sum of positive squares in 12 ways, for example, as 1490500449 + 478471876 = 38607^2 + 21874^2 .

It is not a de Polignac number, because 1968972325 - 21 = 1968972323 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968972323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913449 + ... + 915601.

It is an arithmetic number, because the mean of its divisors is an integer number (102865347).

Almost surely, 21968972325 is an apocalyptic number.

It is an amenable number.

1968972325 is a deficient number, since it is larger than the sum of its proper divisors (499796003).

1968972325 is a wasteful number, since it uses less digits than its factorization.

1968972325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2548 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The square root of 1968972325 is about 44373.1036214507. The cubic root of 1968972325 is about 1253.3716600167.

The spelling of 1968972325 in words is "one billion, nine hundred sixty-eight million, nine hundred seventy-two thousand, three hundred twenty-five".

Divisors: 1 5 25 157 233 785 1165 2153 3925 5825 10765 36581 53825 182905 338021 501649 914525 1690105 2508245 8450525 12541225 78758893 393794465 1968972325