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6996666996 = 22321137477523
BaseRepresentation
bin1101000010000100…
…01010101001110100
3200001121110111202200
412201002022221310
5103312121320441
63114134504500
7335245455024
oct64102125164
920047414680
106996666996
112a70488520
121433205130
13876709b57
144a532da84
152ae3ab7b6
hex1a108aa74

6996666996 has 72 divisors (see below), whose sum is σ = 19815335904. Its totient is φ = 2062895040.

The previous prime is 6996666973. The next prime is 6996666997.

6996666996 is nontrivially palindromic in base 10.

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 (6996666997) 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 23 ways as a sum of consecutive naturals, for example, 224110 + ... + 253413.

Almost surely, 26996666996 is an apocalyptic number.

6996666996 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6996666996 is an abundant number, since it is smaller than the sum of its proper divisors (12818668908).

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

6996666996 is a wasteful number, since it uses less digits than its factorization.

6996666996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477581 (or 477576 counting only the distinct ones).

The product of its digits is 306110016, while the sum is 72.

The square root of 6996666996 is about 83646.0817731470. The cubic root of 6996666996 is about 1912.6275247017.

The spelling of 6996666996 in words is "six billion, nine hundred ninety-six million, six hundred sixty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7326 14652 477523 955046 1432569 1910092 2865138 4297707 5252753 5730276 8595414 10505506 15758259 17190828 17668351 21011012 31516518 35336702 47274777 53005053 63033036 70673404 94549554 106010106 159015159 189099108 194351861 212020212 318030318 388703722 583055583 636060636 777407444 1166111166 1749166749 2332222332 3498333498 6996666996