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12692334753208 = 2311432611278769
BaseRepresentation
bin1011100010110010101000…
…0110101011010110111000
31122221101010122001121201001
42320230222012223112320
53130422400144100313
642554440022334344
72446663613221525
oct270545206532670
948841118047631
1012692334753208
1140538750970a0
12150ba3928a3b4
13710b60a91b26
1431c452c7814c
151702540a3add
hexb8b2a1ab5b8

12692334753208 has 96 divisors (see below), whose sum is σ = 27015141567600. Its totient is φ = 5542692019200.

The previous prime is 12692334753193. The next prime is 12692334753221. The reversal of 12692334753208 is 80235743329621.

12692334753208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126923347532082 (a number of 27 digits) contains 22 as substring.

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, 9286048 + ... + 10564816.

It is a 1-persistent number, because it is pandigital, but 2⋅12692334753208 = 25384669506416 is not.

Almost surely, 212692334753208 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 12692334753208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507570783800).

12692334753208 is an abundant number, since it is smaller than the sum of its proper divisors (14322806814392).

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

12692334753208 is a wasteful number, since it uses less digits than its factorization.

12692334753208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278933 (or 1278886 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 55.

The spelling of 12692334753208 in words is "twelve trillion, six hundred ninety-two billion, three hundred thirty-four million, seven hundred fifty-three thousand, two hundred eight".

Divisors: 1 2 4 8 11 22 43 44 61 86 88 122 172 244 344 473 488 671 946 1342 1849 1892 2623 2684 3698 3784 5246 5368 7396 10492 14792 20339 20984 28853 40678 57706 81356 112789 115412 162712 225578 230824 451156 902312 1240679 1278769 2481358 2557538 4962716 5115076 9925432 10230152 14066459 28132918 54987067 56265836 78004909 109974134 112531672 156009818 219948268 312019636 439896536 604857737 624039272 858053999 1209715474 1716107998 2364443881 2419430948 3354211087 3432215996 4728887762 4838861896 6708422174 6864431992 9457775524 13416844348 18915551048 26008882691 26833688696 36896321957 52017765382 73792643914 104035530764 144231076741 147585287828 208071061528 288462153482 295170575656 576924306964 1153848613928 1586541844151 3173083688302 6346167376604 12692334753208