Search a number
-
+
138235751948 = 227193761115127
BaseRepresentation
bin1000000010111101111…
…1100010111000001100
3111012210212221210101202
42000233133202320030
54231101323030243
6143300555525032
712662416334660
oct2005737427014
9435725853352
10138235751948
11536975294a8
122295aa59778
131006020c038
1469951c08a0
1538e0dcb4b8
hex202f7e2e0c

138235751948 has 96 divisors (see below), whose sum is σ = 303790556160. Its totient is φ = 53713186560.

The previous prime is 138235751939. The next prime is 138235751999. The reversal of 138235751948 is 849157532831.

It is a junction number, because it is equal to n+sod(n) for n = 138235751893 and 138235751902.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143161 + ... + 1258287.

It is an arithmetic number, because the mean of its divisors is an integer number (3164484960).

Almost surely, 2138235751948 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 138235751948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151895278080).

138235751948 is an abundant number, since it is smaller than the sum of its proper divisors (165554804212).

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

138235751948 is a wasteful number, since it uses less digits than its factorization.

138235751948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115255 (or 115253 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 56.

The spelling of 138235751948 in words is "one hundred thirty-eight billion, two hundred thirty-five million, seven hundred fifty-one thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 19 28 37 38 61 74 76 122 133 148 244 259 266 427 518 532 703 854 1036 1159 1406 1708 2257 2318 2812 4514 4636 4921 8113 9028 9842 15799 16226 19684 31598 32452 42883 63196 85766 115127 171532 230254 300181 460508 600362 805889 1200724 1611778 2187413 3223556 4259699 4374826 7022747 8519398 8749652 14045494 15311891 17038796 28090988 29817893 30623782 49159229 59635786 61247564 80934281 98318458 119271572 133432193 161868562 196636916 259841639 266864386 323737124 519683278 533728772 566539967 934025351 1039366556 1133079934 1818891473 1868050702 2266159868 3637782946 3736101404 4936991141 7275565892 9873982282 19747964564 34558937987 69117875974 138235751948