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46031082113641 = 67213127732
BaseRepresentation
bin10100111011101011100100…
…10011000100101001101001
320000222112021020221112102211
422131311302103010221221
522013133124010114031
6241522215344525121
712460431061133062
oct1235656223045151
9200875236845384
1046031082113641
1113737743909549
1251b51703207a1
131c8b935249c81
14b51cb8317569
1554c5927cebb1
hex29dd724c4a69

46031082113641 has 27 divisors (see below), whose sum is σ = 47148789870903. Its totient is φ = 44939701194960.

The previous prime is 46031082113591. The next prime is 46031082113689. The reversal of 46031082113641 is 14631128013064.

The square root of 46031082113641 is 6784621.

It is a perfect power (a square), and thus also a powerful number.

46031082113641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2929283595225 + 43101798518416 = 1711515^2 + 6565196^2 .

It is a de Polignac number, because none of the positive numbers 2k-46031082113641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46031082113594 and 46031082113603.

It is not an unprimeable number, because it can be changed into a prime (46031082113041) 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 26 ways as a sum of consecutive naturals, for example, 59548618131 + ... + 59548618903.

Almost surely, 246031082113641 is an apocalyptic number.

46031082113641 is the 6784621-st square number.

46031082113641 is the 3392311-st centered octagonal number.

It is an amenable number.

46031082113641 is a deficient number, since it is larger than the sum of its proper divisors (1117707757262).

46031082113641 is an frugal number, since it uses more digits than its factorization.

46031082113641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 46031082113641 in words is "forty-six trillion, thirty-one billion, eighty-two million, one hundred thirteen thousand, six hundred forty-one".

Divisors: 1 67 131 773 4489 8777 17161 51791 101263 588059 597529 1149787 3469997 6784621 13265453 40034443 77035729 78276299 454569607 888785351 2682307681 5244512033 10254195169 59548618517 351382306211 687031076323 46031082113641