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46033826811312 = 243959038058569
BaseRepresentation
bin10100111011110000101011…
…11001010000110110110000
320000222210100112120121211010
422131320111321100312300
522013204234130430222
6241523351553150520
712460556066521104
oct1235702571206660
9200883315517733
1046033826811312
111373892215452a
1251b57b755b440
131c8bc81a83532
14b52098a63904
1554c6a374380c
hex29de15e50db0

46033826811312 has 20 divisors (see below), whose sum is σ = 118920719262680. Its totient is φ = 15344608937088.

The previous prime is 46033826811209. The next prime is 46033826811353. The reversal of 46033826811312 is 21311862833064.

46033826811312 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 2×460338268113122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 959038058569 = 46033826811312 / (4 + 6 + 0 + 3 + 3 + 8 + 2 + 6 + 8 + 1 + 1 + 3 + 1 + 2).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 479519029237 + ... + 479519029332.

It is an arithmetic number, because the mean of its divisors is an integer number (5946035963134).

Almost surely, 246033826811312 is an apocalyptic number.

It is an amenable number.

46033826811312 is an abundant number, since it is smaller than the sum of its proper divisors (72886892451368).

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

46033826811312 is a wasteful number, since it uses less digits than its factorization.

46033826811312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959038058580 (or 959038058574 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 46033826811312 in words is "forty-six trillion, thirty-three billion, eight hundred twenty-six million, eight hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 959038058569 1918076117138 2877114175707 3836152234276 5754228351414 7672304468552 11508456702828 15344608937104 23016913405656 46033826811312