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45720981360 = 2434519371353
BaseRepresentation
bin101010100101001011…
…101100111101110000
311101000101002111120000
4222211023230331300
51222114032400420
633000503150000
73206002633515
oct524513547560
9141011074500
1045720981360
111843233600a
128a3ba45300
1344083b8532
1422da30930c
1512c8da7690
hexaa52ecf70

45720981360 has 200 divisors, whose sum is σ = 167153862480. Its totient is φ = 11550532608.

The previous prime is 45720981359. The next prime is 45720981401. The reversal of 45720981360 is 6318902754.

45720981360 is a `hidden beast` number, since 4 + 5 + 7 + 209 + 81 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62557 + ... + 308796.

It is a 1-persistent number, because it is pandigital, but 2⋅45720981360 = 91441962720 is not.

Almost surely, 245720981360 is an apocalyptic number.

45720981360 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 45720981360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83576931240).

45720981360 is an abundant number, since it is smaller than the sum of its proper divisors (121432881120).

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

45720981360 is a wasteful number, since it uses less digits than its factorization.

45720981360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371397 (or 371382 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 45720981360 in words is "forty-five billion, seven hundred twenty million, nine hundred eighty-one thousand, three hundred sixty".