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12055789623864 = 2337235928555771
BaseRepresentation
bin1010111101101111010100…
…0011101101101000111000
31120200112002201002122021210
42233123311003231220320
53040010224120430424
641350204151203120
72353000464002100
oct257336503555070
946615081078253
1012055789623864
113928916a48a68
1214285ab6764a0
13695b18a7a23c
142d97091d8200
1515d8eabe4729
hexaf6f50eda38

12055789623864 has 96 divisors (see below), whose sum is σ = 35157866486400. Its totient is φ = 3434916461760.

The previous prime is 12055789623811. The next prime is 12055789623919. The reversal of 12055789623864 is 46832698755021.

It is a junction number, because it is equal to n+sod(n) for n = 12055789623795 and 12055789623804.

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, 13855702 + ... + 14700069.

It is an arithmetic number, because the mean of its divisors is an integer number (366227775900).

It is a 1-persistent number, because it is pandigital, but 2⋅12055789623864 = 24111579247728 is not.

Almost surely, 212055789623864 is an apocalyptic number.

12055789623864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12055789623864 is an abundant number, since it is smaller than the sum of its proper divisors (23102076862536).

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

12055789623864 is a wasteful number, since it uses less digits than its factorization.

12055789623864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28556153 (or 28556142 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 66.

The spelling of 12055789623864 in words is "twelve trillion, fifty-five billion, seven hundred eighty-nine million, six hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 359 392 588 718 1077 1176 1436 2154 2513 2872 4308 5026 7539 8616 10052 15078 17591 20104 30156 35182 52773 60312 70364 105546 140728 211092 422184 28555771 57111542 85667313 114223084 171334626 199890397 228446168 342669252 399780794 599671191 685338504 799561588 1199342382 1399232779 1599123176 2398684764 2798465558 4197698337 4797369528 5596931116 8395396674 10251521789 11193862232 16790793348 20503043578 30754565367 33581586696 41006087156 61509130734 71760652523 82012174312 123018261468 143521305046 215281957569 246036522936 287042610092 430563915138 502324567661 574085220184 861127830276 1004649135322 1506973702983 1722255660552 2009298270644 3013947405966 4018596541288 6027894811932 12055789623864