Search a number
-
+
38068692544 = 26296
BaseRepresentation
bin100011011101000100…
…100010011001000000
310122021001221221201201
4203131010202121000
51110431041130134
625253304110544
72515243355551
oct433504423100
9118231857651
1038068692544
111516586a183
127465165454
133788c0989c
141bb1cb4328
15ecc192914
hex8dd122640

38068692544 has 49 divisors (see below), whose sum is σ = 78240510397. Its totient is φ = 18377989504.

The previous prime is 38068692503. The next prime is 38068692611. The reversal of 38068692544 is 44529686083.

The square root of 38068692544 is 195112.

The cubic root of 38068692544 is 3364.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 16259310144 + 21809382400 = 127512^2 + 147680^2 .

It is a Duffinian number.

It is an unprimeable number.

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 6 ways as a sum of consecutive naturals, for example, 1312713522 + ... + 1312713550.

Almost surely, 238068692544 is an apocalyptic number.

38068692544 is the 195112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38068692544

38068692544 is an abundant number, since it is smaller than the sum of its proper divisors (40171817853).

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

38068692544 is an frugal number, since it uses more digits than its factorization.

38068692544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 55.

The spelling of 38068692544 in words is "thirty-eight billion, sixty-eight million, six hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1682 1856 3364 6728 13456 24389 26912 48778 53824 97556 195112 390224 707281 780448 1414562 1560896 2829124 5658248 11316496 20511149 22632992 41022298 45265984 82044596 164089192 328178384 594823321 656356768 1189646642 1312713536 2379293284 4758586568 9517173136 19034346272 38068692544