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6681110784 = 28313763499
BaseRepresentation
bin1100011100011100…
…11010100100000000
3122020121200121000120
412032032122210000
5102140331021114
63022543220240
7324364335045
oct61616324400
918217617016
106681110784
112919349467
1213655a7680
138262234ba
1447546b1cc
152918285a9
hex18e39a900

6681110784 has 72 divisors (see below), whose sum is σ = 17911572000. Its totient is φ = 2210746368.

The previous prime is 6681110773. The next prime is 6681110791. The reversal of 6681110784 is 4870111866.

It is an unprimeable number.

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, 73467 + ... + 136965.

Almost surely, 26681110784 is an apocalyptic number.

6681110784 is a gapful number since it is divisible by the number (64) 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 6681110784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8955786000).

6681110784 is an abundant number, since it is smaller than the sum of its proper divisors (11230461216).

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

6681110784 is a wasteful number, since it uses less digits than its factorization.

6681110784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63655 (or 63641 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 6681110784 is about 81738.0620274300. The cubic root of 6681110784 is about 1883.4303207699.

The spelling of 6681110784 in words is "six billion, six hundred eighty-one million, one hundred ten thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 548 768 822 1096 1644 2192 3288 4384 6576 8768 13152 17536 26304 35072 52608 63499 105216 126998 190497 253996 380994 507992 761988 1015984 1523976 2031968 3047952 4063936 6095904 8127872 8699363 12191808 16255744 17398726 24383616 26098089 34797452 48767232 52196178 69594904 104392356 139189808 208784712 278379616 417569424 556759232 835138848 1113518464 1670277696 2227036928 3340555392 6681110784