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8005668748 = 2271172735753
BaseRepresentation
bin1110111010010110…
…01100111110001100
3202122221002002221221
413131023030332030
5112343422344443
63402221133124
7402250030060
oct73513147614
922587062857
108005668748
113438a9a470
1216750ba1a4
139a77793cc
1455d341aa0
1531cc69eed
hex1dd2ccf8c

8005668748 has 48 divisors (see below), whose sum is σ = 17491428864. Its totient is φ = 3114714240.

The previous prime is 8005668743. The next prime is 8005668761. The reversal of 8005668748 is 8478665008.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8005668695 and 8005668704.

It is not an unprimeable number, because it can be changed into a prime (8005668743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 206040 + ... + 241792.

It is an arithmetic number, because the mean of its divisors is an integer number (364404768).

Almost surely, 28005668748 is an apocalyptic number.

It is an amenable number.

8005668748 is an abundant number, since it is smaller than the sum of its proper divisors (9485760116).

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

8005668748 is a wasteful number, since it uses less digits than its factorization.

8005668748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36502 (or 36500 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The square root of 8005668748 is about 89474.4027529662. The cubic root of 8005668748 is about 2000.4722841317.

The spelling of 8005668748 in words is "eight billion, five million, six hundred sixty-eight thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 727 1454 2908 5089 7997 10178 15994 20356 31988 35753 55979 71506 111958 143012 223916 250271 393283 500542 786566 1001084 1573132 2752981 5505962 11011924 25992431 51984862 103969724 181947017 285916741 363894034 571833482 727788068 1143666964 2001417187 4002834374 8005668748