Search a number
-
+
12008331808 = 251173557839
BaseRepresentation
bin10110010111100000…
…01001101000100000
31010222212210110102221
423023300021220200
5144043113104213
65303324120424
7603402064504
oct131360115040
933885713387
1012008331808
115102432470
1223b1696114
131194ac0ca5
1481cb8a304
154a436938d
hex2cbc09a20

12008331808 has 96 divisors (see below), whose sum is σ = 26222071680. Its totient is φ = 5367490560.

The previous prime is 12008331737. The next prime is 12008331817. The reversal of 12008331808 is 80813380021.

It is a super-2 number, since 2×120083318082 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14312253 + ... + 14313091.

It is an arithmetic number, because the mean of its divisors is an integer number (273146580).

Almost surely, 212008331808 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 12008331808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111035840).

12008331808 is an abundant number, since it is smaller than the sum of its proper divisors (14213739872).

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

12008331808 is a wasteful number, since it uses less digits than its factorization.

12008331808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 12008331808 in words is "twelve billion, eight million, three hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 557 584 803 839 1114 1168 1606 1678 2228 2336 3212 3356 4456 6127 6424 6712 8912 9229 12254 12848 13424 17824 18458 24508 25696 26848 36916 40661 49016 61247 73832 81322 98032 122494 147664 162644 196064 244988 295328 325288 447271 467323 489976 650576 673717 894542 934646 979952 1301152 1347434 1789084 1869292 1959904 2694868 3578168 3738584 5140553 5389736 7156336 7477168 10281106 10779472 14312672 14954336 20562212 21558944 34114579 41124424 68229158 82248848 136458316 164497696 272916632 375260369 545833264 750520738 1091666528 1501041476 3002082952 6004165904 12008331808