Search a number
-
+
39740175104 = 287191116107
BaseRepresentation
bin100101000000101100…
…101111001100000000
310210120120011001202012
4211000230233030000
51122341441100404
630131213512052
72604540625550
oct450054571400
9123516131665
1039740175104
1115943324823
127850aa2628
1339942acc16
141ccdc95160
151078cb1a6e
hex940b2f300

39740175104 has 72 divisors (see below), whose sum is σ = 91132704768. Its totient is φ = 16942187520.

The previous prime is 39740175071. The next prime is 39740175109. The reversal of 39740175104 is 40157104793.

It is not an unprimeable number, because it can be changed into a prime (39740175109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284219 + ... + 400325.

Almost surely, 239740175104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39740175104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45566352384).

39740175104 is an abundant number, since it is smaller than the sum of its proper divisors (51392529664).

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

39740175104 is a wasteful number, since it uses less digits than its factorization.

39740175104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116321 (or 116307 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

Adding to 39740175104 its reverse (40157104793), we get a palindrome (79897279897).

The spelling of 39740175104 in words is "thirty-nine billion, seven hundred forty million, one hundred seventy-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 191 224 256 382 448 764 896 1337 1528 1792 2674 3056 5348 6112 10696 12224 21392 24448 42784 48896 85568 116107 171136 232214 342272 464428 812749 928856 1625498 1857712 3250996 3715424 6501992 7430848 13003984 14861696 22176437 26007968 29723392 44352874 52015936 88705748 104031872 155235059 177411496 208063744 310470118 354822992 620940236 709645984 1241880472 1419291968 2483760944 2838583936 4967521888 5677167872 9935043776 19870087552 39740175104