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45380791080 = 2334567349599
BaseRepresentation
bin101010010000111001…
…111110101100101000
311100010122222001020000
4222100321332230220
51220414440303310
632503031503000
73164402234232
oct522071765450
9140118861200
1045380791080
1118278301019
128965b27a60
134382a88401
1422a7073252
1512a90aa4c0
hexa90e7eb28

45380791080 has 320 divisors, whose sum is σ = 155509200000. Its totient is φ = 11866922496.

The previous prime is 45380791069. The next prime is 45380791103. The reversal of 45380791080 is 8019708354.

45380791080 is a `hidden beast` number, since 4 + 538 + 0 + 7 + 9 + 108 + 0 = 666.

45380791080 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75760621 + ... + 75761219.

It is an arithmetic number, because the mean of its divisors is an integer number (485966250).

Almost surely, 245380791080 is an apocalyptic number.

45380791080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45380791080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77754600000).

45380791080 is an abundant number, since it is smaller than the sum of its proper divisors (110128408920).

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

45380791080 is a wasteful number, since it uses less digits than its factorization.

45380791080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 45380791080 in words is "forty-five billion, three hundred eighty million, seven hundred ninety-one thousand, eighty".