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7379922816 = 273274321283
BaseRepresentation
bin1101101111110000…
…01010111110000000
3201001022121220220200
412313320022332000
5110103230012231
63220145205200
7350611210650
oct66770127600
921038556820
107379922816
113147857272
12151b630800
13907c37c46
145001b6360
152d2d63be6
hex1b7e0af80

7379922816 has 192 divisors, whose sum is σ = 24835873920. Its totient is φ = 2059416576.

The previous prime is 7379922769. The next prime is 7379922817. The reversal of 7379922816 is 6182299737.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7379922817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336111 + ... + 357393.

It is an arithmetic number, because the mean of its divisors is an integer number (129353510).

Almost surely, 27379922816 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 7379922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417936960).

7379922816 is an abundant number, since it is smaller than the sum of its proper divisors (17455951104).

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

7379922816 is a wasteful number, since it uses less digits than its factorization.

7379922816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21353 (or 21338 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 7379922816 is about 85906.4771481173. The cubic root of 7379922816 is about 1946.9312077676.

The spelling of 7379922816 in words is "seven billion, three hundred seventy-nine million, nine hundred twenty-two thousand, eight hundred sixteen".