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45346223160 = 23325723782371
BaseRepresentation
bin101010001110110110…
…000111010000111000
311100001020220210221200
4222032312013100320
51220332113120120
632455354534200
73163502352150
oct521666072070
9140036823850
1045346223160
111825a840697
128956437360
134378874214
1422a2635760
1512a602ce90
hexa8ed87438

45346223160 has 192 divisors, whose sum is σ = 175752046080. Its totient is φ = 9914192640.

The previous prime is 45346223149. The next prime is 45346223161. The reversal of 45346223160 is 6132264354.

45346223160 is a `hidden beast` number, since 4 + 534 + 62 + 2 + 3 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45346223161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333226 + ... + 449145.

It is an arithmetic number, because the mean of its divisors is an integer number (915375240).

Almost surely, 245346223160 is an apocalyptic number.

45346223160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45346223160 is an abundant number, since it is smaller than the sum of its proper divisors (130405822920).

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

45346223160 is a wasteful number, since it uses less digits than its factorization.

45346223160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782418 (or 782411 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 45346223160 in words is "forty-five billion, three hundred forty-six million, two hundred twenty-three thousand, one hundred sixty".