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45340150464 = 263473733769
BaseRepresentation
bin101010001110011110…
…111100101011000000
311100000211111021210000
4222032132330223000
51220324034303324
632455020440000
73163366630410
oct521636745300
9140024437700
1045340150464
1118257373134
1289543a9000
1343775290cb
1422a18d4640
1512a572d9c9
hexa8e7bcac0

45340150464 has 280 divisors, whose sum is σ = 157758851360. Its totient is φ = 12603838464.

The previous prime is 45340150439. The next prime is 45340150511. The reversal of 45340150464 is 46405104354.

45340150464 is a `hidden beast` number, since 4 + 5 + 3 + 40 + 150 + 464 = 666.

45340150464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1325772 + ... + 1359540.

Almost surely, 245340150464 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 45340150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78879425680).

45340150464 is an abundant number, since it is smaller than the sum of its proper divisors (112418700896).

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

45340150464 is a wasteful number, since it uses less digits than its factorization.

45340150464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33837 (or 33818 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 45340150464 in words is "forty-five billion, three hundred forty million, one hundred fifty thousand, four hundred sixty-four".