Search a number
-
+
38349006938 = 21110121071597
BaseRepresentation
bin100011101101110001…
…110110100001011010
310122222121102101210022
4203231301312201122
51112014321210223
625341200150442
72525216115644
oct435561664132
9118877371708
1038349006938
111529a018570
127523008422
1338020043a8
141bdb201894
15ee6ab3ac8
hex8edc7685a

38349006938 has 48 divisors (see below), whose sum is σ = 64012786272. Its totient is φ = 17086776000.

The previous prime is 38349006911. The next prime is 38349006947. The reversal of 38349006938 is 83960094383.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38349006938.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 24012356 + ... + 24013952.

It is an arithmetic number, because the mean of its divisors is an integer number (1333599714).

Almost surely, 238349006938 is an apocalyptic number.

38349006938 is a deficient number, since it is larger than the sum of its proper divisors (25663779334).

38349006938 is a wasteful number, since it uses less digits than its factorization.

38349006938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 53.

The spelling of 38349006938 in words is "thirty-eight billion, three hundred forty-nine million, six thousand, nine hundred thirty-eight".

Divisors: 1 2 11 22 101 107 202 214 1111 1177 1597 2222 2354 3194 10201 10807 17567 20402 21614 35134 112211 118877 161297 170879 224422 237754 322594 341758 1091507 1774267 1879669 2183014 3548534 3759338 12006577 16290997 17258779 24013154 32581994 34517558 179200967 189846569 358401934 379693138 1743136679 3486273358 19174503469 38349006938