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2093033479824 = 24347257412
BaseRepresentation
bin11110011101010010100…
…001000101111010010000
321102002111002202022010000
4132131102201011322100
5233243013032323244
64241305403210000
7304134215015100
oct36352241057220
97362432668100
102093033479824
1173771791a1a1
12299788816900
131224ab990a11
14734365cb200
15396a0813169
hex1e752845e90

2093033479824 has 225 divisors, whose sum is σ = 7048109911161. Its totient is φ = 597905400960.

The previous prime is 2093033479807. The next prime is 2093033479847. The reversal of 2093033479824 is 4289743303902.

The square root of 2093033479824 is 1446732.

It is a perfect power (a square), and thus also a powerful number.

2093033479824 is a `hidden beast` number, since 2 + 0 + 93 + 0 + 3 + 3 + 479 + 82 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1046258945424 + 1046774534400 = 1022868^2 + 1023120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 364573594 + ... + 364579334.

Almost surely, 22093033479824 is an apocalyptic number.

2093033479824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2093033479824 is the 1446732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093033479824

2093033479824 is an abundant number, since it is smaller than the sum of its proper divisors (4955076431337).

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

2093033479824 is an frugal number, since it uses more digits than its factorization.

2093033479824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2093033479824 in words is "two trillion, ninety-three billion, thirty-three million, four hundred seventy-nine thousand, eight hundred twenty-four".