Search a number
-
+
138763876248 = 23331013634181
BaseRepresentation
bin1000000100111011111…
…0001011011110011000
3111021011200201021202000
42001032332023132120
54233142023014443
6143425223241000
713011461325654
oct2011676133630
9437150637660
10138763876248
1153938655068
1222a878a9160
131011576041a
146a053b7a64
15392244c8d3
hex204ef8b798

138763876248 has 64 divisors (see below), whose sum is σ = 385836328800. Its totient is φ = 46208891520.

The previous prime is 138763876217. The next prime is 138763876319. The reversal of 138763876248 is 842678367831.

138763876248 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 6 + 387 + 6 + 248 = 666.

138763876248 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98283 + ... + 535898.

Almost surely, 2138763876248 is an apocalyptic number.

138763876248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138763876248 is an abundant number, since it is smaller than the sum of its proper divisors (247072452552).

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

138763876248 is a wasteful number, since it uses less digits than its factorization.

138763876248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635209 (or 635199 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 138763876248 in words is "one hundred thirty-eight billion, seven hundred sixty-three million, eight hundred seventy-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1013 2026 3039 4052 6078 8104 9117 12156 18234 24312 27351 36468 54702 72936 109404 218808 634181 1268362 1902543 2536724 3805086 5073448 5707629 7610172 11415258 15220344 17122887 22830516 34245774 45661032 68491548 136983096 642425353 1284850706 1927276059 2569701412 3854552118 5139402824 5781828177 7709104236 11563656354 15418208472 17345484531 23127312708 34690969062 46254625416 69381938124 138763876248