Search a number
-
+
38372101443249 = 3723130360971101
BaseRepresentation
bin10001011100110001100110…
…11110011100111010110001
312000212100002201121000011120
420232120303132130322301
520012142030432140444
6213335522224332453
711040202305445350
oct1056306336347261
9160770081530146
1038372101443249
11112545759a7012
12437892b174129
1318546207813a2
149693108c7997
1546822e25db19
hex22e63379ceb1

38372101443249 has 32 divisors (see below), whose sum is σ = 61060851462144. Its totient is φ = 20957474260800.

The previous prime is 38372101443239. The next prime is 38372101443283. The reversal of 38372101443249 is 94234410127383.

It is not a de Polignac number, because 38372101443249 - 27 = 38372101443121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38372101443239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29856202 + ... + 31114899.

It is an arithmetic number, because the mean of its divisors is an integer number (1908151608192).

Almost surely, 238372101443249 is an apocalyptic number.

It is an amenable number.

38372101443249 is a deficient number, since it is larger than the sum of its proper divisors (22688750018895).

38372101443249 is a wasteful number, since it uses less digits than its factorization.

38372101443249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60972437.

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 38372101443249 in words is "thirty-eight trillion, three hundred seventy-two billion, one hundred one million, four hundred forty-three thousand, two hundred forty-nine".

Divisors: 1 3 7 21 23 69 161 483 1303 3909 9121 27363 29969 89907 209783 629349 60971101 182913303 426797707 1280393121 1402335323 4207005969 9816347261 29449041783 79445344603 238336033809 556117412221 1668352236663 1827242925869 5481728777607 12790700481083 38372101443249