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6993993996 = 22321157130931
BaseRepresentation
bin1101000001101111…
…11110000100001100
3200001102102201002200
412200313332010030
5103310430301441
63114001321500
7335213653023
oct64067760414
920042381080
106993993996
112a69a22230
121432336290
13875cb22b2
144a4c358ba
152ae02e7b6
hex1a0dfe10c

6993993996 has 72 divisors (see below), whose sum is σ = 19320869568. Its totient is φ = 2115612000.

The previous prime is 6993993971. The next prime is 6993993997.

6993993996 is a `hidden beast` number, since 69 + 93 + 99 + 399 + 6 = 666.

6993993996 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6993993997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210651 + ... + 241581.

Almost surely, 26993993996 is an apocalyptic number.

6993993996 is a gapful number since it is divisible by the number (66) 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 6993993996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660434784).

6993993996 is an abundant number, since it is smaller than the sum of its proper divisors (12326875572).

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

6993993996 is a wasteful number, since it uses less digits than its factorization.

6993993996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31523 (or 31518 counting only the distinct ones).

The product of its digits is 172186884, while the sum is 72.

The square root of 6993993996 is about 83630.1022120624. The cubic root of 6993993996 is about 1912.3839275448.

The spelling of 6993993996 in words is "six billion, nine hundred ninety-three million, nine hundred ninety-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 571 1142 1713 2284 3426 5139 6281 6852 10278 12562 18843 20556 25124 30931 37686 56529 61862 75372 92793 113058 123724 185586 226116 278379 340241 371172 556758 680482 1020723 1113516 1360964 2041446 3062169 4082892 6124338 12248676 17661601 35323202 52984803 70646404 105969606 158954409 194277611 211939212 317908818 388555222 582832833 635817636 777110444 1165665666 1748498499 2331331332 3496996998 6993993996