Search a number
-
+
12139496928 = 2532135995413
BaseRepresentation
bin10110100111001001…
…00000010111100000
31011100000121100011100
423103210200113200
5144330202400203
65324331314400
7606554010216
oct132344402740
934300540140
1012139496928
11516a47a799
1224295aba00
1311b6026ba0
14832370cb6
154b0b27ea3
hex2d39205e0

12139496928 has 144 divisors (see below), whose sum is σ = 37246154400. Its totient is φ = 3728305152.

The previous prime is 12139496909. The next prime is 12139496933. The reversal of 12139496928 is 82969493121.

12139496928 is a `hidden beast` number, since 12 + 139 + 496 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2239950 + ... + 2245362.

It is an arithmetic number, because the mean of its divisors is an integer number (258653850).

Almost surely, 212139496928 is an apocalyptic number.

12139496928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12139496928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623077200).

12139496928 is an abundant number, since it is smaller than the sum of its proper divisors (25106657472).

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

12139496928 is a wasteful number, since it uses less digits than its factorization.

12139496928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041 (or 6030 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 12139496928 in words is "twelve billion, one hundred thirty-nine million, four hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 599 624 936 1198 1248 1797 1872 2396 3594 3744 4792 5391 5413 7188 7787 9584 10782 10826 14376 15574 16239 19168 21564 21652 23361 28752 31148 32478 43128 43304 46722 48717 57504 62296 64956 70083 70369 86256 86608 93444 97434 124592 129912 140166 140738 172512 173216 186888 194868 211107 249184 259824 280332 281476 373776 389736 422214 519648 560664 562952 633321 747552 779472 844428 1121328 1125904 1266642 1558944 1688856 2242656 2251808 2533284 3242387 3377712 5066568 6484774 6755424 9727161 10133136 12969548 19454322 20266272 25939096 29181483 38908644 42151031 51878192 58362966 77817288 84302062 103756384 116725932 126453093 155634576 168604124 233451864 252906186 311269152 337208248 379359279 466903728 505812372 674416496 758718558 933807456 1011624744 1348832992 1517437116 2023249488 3034874232 4046498976 6069748464 12139496928