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4495772160 = 293751173
BaseRepresentation
bin1000010111111100…
…00000101000000000
3102121022120220000000
410023332000220000
533201404202120
62022040000000
7216260301315
oct41376005000
912538526000
104495772160
1119a7823190
12a55760000
13568556319
14309128d0c
151b4a55990
hex10bf80a00

4495772160 has 640 divisors, whose sum is σ = 17877784320. Its totient is φ = 1074954240.

The previous prime is 4495772143. The next prime is 4495772161. The reversal of 4495772160 is 612775944.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (4495772161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61585884 + ... + 61585956.

It is an arithmetic number, because the mean of its divisors is an integer number (27934038).

Almost surely, 24495772160 is an apocalyptic number.

4495772160 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 4495772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8938892160).

4495772160 is an abundant number, since it is smaller than the sum of its proper divisors (13382012160).

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

4495772160 is an frugal number, since it uses more digits than its factorization.

4495772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4495772160 is about 67050.5194610750. The cubic root of 4495772160 is about 1650.4464246588.

The spelling of 4495772160 in words is "four billion, four hundred ninety-five million, seven hundred seventy-two thousand, one hundred sixty".