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2873328864 = 25374275787
BaseRepresentation
bin1010101101000011…
…1000010011100000
321102020200020012120
42223100320103200
521341033010424
61153041224240
7131126615040
oct25320702340
97366606176
102873328864
111244a1255a
12682332080
1336a392cc3
141d3871720
1511c3c1a79
hexab4384e0

2873328864 has 48 divisors (see below), whose sum is σ = 8619988608. Its totient is φ = 820950912.

The previous prime is 2873328863. The next prime is 2873328881. The reversal of 2873328864 is 4688233782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 (2873328863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2137222 + ... + 2138565.

It is an arithmetic number, because the mean of its divisors is an integer number (179583096).

Almost surely, 22873328864 is an apocalyptic number.

2873328864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2873328864 is an abundant number, since it is smaller than the sum of its proper divisors (5746659744).

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

2873328864 is a wasteful number, since it uses less digits than its factorization.

2873328864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275807 (or 4275799 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 2873328864 is about 53603.4407850839. The cubic root of 2873328864 is about 1421.6579299487.

The spelling of 2873328864 in words is "two billion, eight hundred seventy-three million, three hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4275787 8551574 12827361 17103148 25654722 29930509 34206296 51309444 59861018 68412592 89791527 102618888 119722036 136825184 179583054 205237776 239444072 359166108 410475552 478888144 718332216 957776288 1436664432 2873328864