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46033826811157 = 149881350683153
BaseRepresentation
bin10100111011110000101011…
…11001010000110100010101
320000222210100112120121121101
422131320111321100310111
522013204234130424112
6241523351553150101
712460556066520463
oct1235702571206425
9200883315517541
1046033826811157
11137389221543a9
1251b57b755b331
131c8bc81a83443
14b52098a63833
1554c6a3743757
hex29de15e50d15

46033826811157 has 8 divisors (see below), whose sum is σ = 46395381274200. Its totient is φ = 45672973716480.

The previous prime is 46033826811149. The next prime is 46033826811191. The reversal of 46033826811157 is 75111862833064.

46033826811157 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 4 ways, for example, as 5302192417201 + 40731634393956 = 2302649^2 + 6382134^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 46033826811157 - 23 = 46033826811149 is a prime.

It is a super-2 number, since 2×460338268111572 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46033826811098 and 46033826811107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46033896811157) 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 7 ways as a sum of consecutive naturals, for example, 175210308 + ... + 175472845.

It is an arithmetic number, because the mean of its divisors is an integer number (5799422659275).

Almost surely, 246033826811157 is an apocalyptic number.

It is an amenable number.

46033826811157 is a deficient number, since it is larger than the sum of its proper divisors (361554463043).

46033826811157 is a wasteful number, since it uses less digits than its factorization.

46033826811157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350684183.

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 46033826811157 in words is "forty-six trillion, thirty-three billion, eight hundred twenty-six million, eight hundred eleven thousand, one hundred fifty-seven".

Divisors: 1 149 881 131269 350683153 52251789797 308951857793 46033826811157