Search a number
-
+
38130120248 = 231110710513853
BaseRepresentation
bin100011100000101110…
…110111011000111000
310122102100112210200212
4203200232313120320
51111042302321443
625303340450252
72516620450223
oct434056673070
9118370483625
1038130120248
1115197505780
127481849988
13379886663c
141bba1045ba
15ed2778618
hex8e0bb7638

38130120248 has 64 divisors (see below), whose sum is σ = 78817691520. Its totient is φ = 17149104000.

The previous prime is 38130120221. The next prime is 38130120251. The reversal of 38130120248 is 84202103183.

38130120248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9894290 + ... + 9898142.

It is an arithmetic number, because the mean of its divisors is an integer number (1231526430).

Almost surely, 238130120248 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 38130120248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39408845760).

38130120248 is an abundant number, since it is smaller than the sum of its proper divisors (40687571272).

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

38130120248 is a wasteful number, since it uses less digits than its factorization.

38130120248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 38130120248 in words is "thirty-eight billion, one hundred thirty million, one hundred twenty thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 22 44 88 107 214 428 856 1051 1177 2102 2354 3853 4204 4708 7706 8408 9416 11561 15412 23122 30824 42383 46244 84766 92488 112457 169532 224914 339064 412271 449828 824542 899656 1237027 1649084 2474054 3298168 4049503 4534981 4948108 8099006 9069962 9896216 16198012 18139924 32396024 36279848 44544533 89089066 178178132 356356264 433296821 866593642 1733187284 3466374568 4766265031 9532530062 19065060124 38130120248