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116001070600116 = 2231319726591419557
BaseRepresentation
bin11010011000000010011010…
…100110110100111110110100
3120012201121001001121110021110
4122120002122212310332310
5110201030143033200431
61050414053421315020
733301541445135132
oct3230023246647664
9505647031543243
10116001070600116
1133a63861237329
121101594ba05a70
134c95b1438a140
1420906a5db8752
15d626c2675346
hex69809a9b4fb4

116001070600116 has 96 divisors (see below), whose sum is σ = 293079900516480. Its totient is φ = 35498076009984.

The previous prime is 116001070600091. The next prime is 116001070600117. The reversal of 116001070600116 is 611006070100611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116001070600117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81006610 + ... + 82426166.

It is an arithmetic number, because the mean of its divisors is an integer number (3052915630380).

Almost surely, 2116001070600116 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 116001070600116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146539950258240).

116001070600116 is an abundant number, since it is smaller than the sum of its proper divisors (177078829916364).

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

116001070600116 is a wasteful number, since it uses less digits than its factorization.

116001070600116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422433 (or 1422431 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 116001070600116 in words is "one hundred sixteen trillion, one billion, seventy million, six hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 197 394 591 788 1182 2364 2561 2659 5122 5318 7683 7977 10244 10636 15366 15954 30732 31908 34567 69134 103701 138268 207402 414804 523823 1047646 1419557 1571469 2095292 2839114 3142938 4258671 5678228 6285876 6809699 8517342 13619398 17034684 18454241 20429097 27238796 36908482 40858194 55362723 73816964 81716388 110725446 221450892 279652729 559305458 838958187 1118610916 1677916374 3355832748 3635485477 3774602063 7270970954 7549204126 10906456431 11323806189 14541941908 15098408252 21812912862 22647612378 43625825724 45295224756 49069826819 98139653638 147209480457 196279307276 294418960914 588837921828 743596606411 1487193212822 2230789819233 2974386425644 4461579638466 8923159276932 9666755883343 19333511766686 29000267650029 38667023533372 58000535300058 116001070600116