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1945918496 = 25233138447
BaseRepresentation
bin111001111111100…
…0101110000100000
312000121120220100102
41303333011300200
512441123342441
6521031441532
766136014524
oct16377056040
95017526312
101945918496
11909469405
124638262a8
132501c0282
1414661bd84
15b5c7d69b
hex73fc5c20

1945918496 has 48 divisors (see below), whose sum is σ = 4010840064. Its totient is φ = 927573504.

The previous prime is 1945918493. The next prime is 1945918529. The reversal of 1945918496 is 6948195491.

It is not an unprimeable number, because it can be changed into a prime (1945918493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226145 + ... + 234591.

It is an arithmetic number, because the mean of its divisors is an integer number (83559168).

Almost surely, 21945918496 is an apocalyptic number.

1945918496 is a gapful number since it is divisible by the number (16) 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 1945918496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005420032).

1945918496 is an abundant number, since it is smaller than the sum of its proper divisors (2064921568).

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

1945918496 is a wasteful number, since it uses less digits than its factorization.

1945918496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8785 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 56.

The square root of 1945918496 is about 44112.5661915060. The cubic root of 1945918496 is about 1248.4607177462.

The spelling of 1945918496 in words is "one billion, nine hundred forty-five million, nine hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 313 368 626 736 1252 2504 5008 7199 8447 10016 14398 16894 28796 33788 57592 67576 115184 135152 194281 230368 270304 388562 777124 1554248 2643911 3108496 5287822 6216992 10575644 21151288 42302576 60809953 84605152 121619906 243239812 486479624 972959248 1945918496