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12765400037 = 132131346073
BaseRepresentation
bin10111110001110000…
…01000101111100101
31012221122100111210222
423320320020233211
5202120420300122
65510410454125
7631224052505
oct137070105745
935848314728
1012765400037
11546080aa95
122583134345
1312858c1a60
1489153ba05
154eaa60b42
hex2f8e08be5

12765400037 has 8 divisors (see below), whose sum is σ = 13748297304. Its totient is φ = 11782637568.

The previous prime is 12765400009. The next prime is 12765400049. The reversal of 12765400037 is 73000456721.

It can be written as a sum of positive squares in 4 ways, for example, as 594676996 + 12170723041 = 24386^2 + 110321^2 .

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

It is not a de Polignac number, because 12765400037 - 26 = 12765399973 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 (12765400237) 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, 254033 + ... + 300105.

It is an arithmetic number, because the mean of its divisors is an integer number (1718537163).

Almost surely, 212765400037 is an apocalyptic number.

It is an amenable number.

12765400037 is a deficient number, since it is larger than the sum of its proper divisors (982897267).

12765400037 is a wasteful number, since it uses less digits than its factorization.

12765400037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67399.

The product of its (nonzero) digits is 35280, while the sum is 35.

Adding to 12765400037 its reverse (73000456721), we get a palindrome (85765856758).

The spelling of 12765400037 in words is "twelve billion, seven hundred sixty-five million, four hundred thousand, thirty-seven".

Divisors: 1 13 21313 46073 277069 598949 981953849 12765400037