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6993011412 = 22321091782113
BaseRepresentation
bin1101000001101000…
…01110001011010100
3200001100120210020200
412200310032023110
5103310202331122
63113524300500
7335202421242
oct64064161324
920040523220
106993011412
112a69410a82
121431b41730
13875a29c9a
144a4a5b792
152addd85ac
hex1a0d0e2d4

6993011412 has 36 divisors (see below), whose sum is σ = 17838961140. Its totient is φ = 2309617152.

The previous prime is 6993011401. The next prime is 6993011413. The reversal of 6993011412 is 2141103996.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2771390736 + 4221620676 = 52644^2 + 64974^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6993011413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 887133 + ... + 894980.

Almost surely, 26993011412 is an apocalyptic number.

It is an amenable number.

6993011412 is an abundant number, since it is smaller than the sum of its proper divisors (10845949728).

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

6993011412 is a wasteful number, since it uses less digits than its factorization.

6993011412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782232 (or 1782227 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 6993011412 is about 83624.2274224402. The cubic root of 6993011412 is about 1912.2943666132.

The spelling of 6993011412 in words is "six billion, nine hundred ninety-three million, eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 1782113 3564226 5346339 7128452 10692678 16039017 21385356 32078034 64156068 194250317 388500634 582750951 777001268 1165501902 1748252853 2331003804 3496505706 6993011412