Search a number
-
+
37946064973 = 1714914980681
BaseRepresentation
bin100011010101110000…
…110000000001001101
310121221112012211022211
4203111300300001031
51110203143034343
625233203510421
72512224142015
oct432560600115
9117845184284
1037946064973
1115102623283
127430088411
1337696a29ab
141b9d8b2c45
15ec151d79d
hex8d5c3004d

37946064973 has 8 divisors (see below), whose sum is σ = 40447841400. Its totient is φ = 35474250240.

The previous prime is 37946064967. The next prime is 37946064977.

37946064973 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 5319951844 + 32626113129 = 72938^2 + 180627^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 37946064973 - 29 = 37946064461 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 (37946064977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7487808 + ... + 7492873.

It is an arithmetic number, because the mean of its divisors is an integer number (5055980175).

Almost surely, 237946064973 is an apocalyptic number.

It is an amenable number.

37946064973 is a deficient number, since it is larger than the sum of its proper divisors (2501776427).

37946064973 is a wasteful number, since it uses less digits than its factorization.

37946064973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14980847.

The product of its (nonzero) digits is 20575296, while the sum is 58.

The spelling of 37946064973 in words is "thirty-seven billion, nine hundred forty-six million, sixty-four thousand, nine hundred seventy-three".

Divisors: 1 17 149 2533 14980681 254671577 2232121469 37946064973