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7000006993 = 74761569613
BaseRepresentation
bin1101000010011101…
…11010000101010001
3200001211202012101021
412201032322011101
5103314000210433
63114334235441
7335316035440
oct64116720521
920054665337
107000006993
112a72359951
121434355b81
13877309195
144a595cd57
152ae81b22d
hex1a13ba151

7000006993 has 32 divisors (see below), whose sum is σ = 8332323840. Its totient is φ = 5756520960.

The previous prime is 7000006991. The next prime is 7000007051. The reversal of 7000006993 is 3996000007.

It is a cyclic number.

It is not a de Polignac number, because 7000006993 - 21 = 7000006991 is a prime.

It is a Duffinian number.

7000006993 is a modest number, since divided by 6993 gives 7 as remainder.

It is not an unprimeable number, because it can be changed into a prime (7000006991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11418955 + ... + 11419567.

It is an arithmetic number, because the mean of its divisors is an integer number (260385120).

Almost surely, 27000006993 is an apocalyptic number.

It is an amenable number.

7000006993 is a deficient number, since it is larger than the sum of its proper divisors (1332316847).

7000006993 is a wasteful number, since it uses less digits than its factorization.

7000006993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297.

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 7000006993 is about 83666.0444445654. The cubic root of 7000006993 is about 1912.9318197783.

The spelling of 7000006993 in words is "seven billion, six thousand, nine hundred ninety-three".

Divisors: 1 7 47 61 329 427 569 613 2867 3983 4291 20069 26743 28811 34709 37393 187201 201677 242963 261751 348797 1631323 1757471 2441579 11419261 12302297 16393459 21276617 114754213 148936319 1000000999 7000006993