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6696406080 = 2634571317167
BaseRepresentation
bin1100011110010001…
…10000110001000000
3122021200110200020000
412033020300301000
5102203234443310
63024251120000
7324641340540
oct61710606100
918250420200
106696406080
112926a46001
12136a743000
1382944a380
144774cd320
15292d4a4c0
hex18f230c40

6696406080 has 1120 divisors, whose sum is σ = 31227710976. Its totient is φ = 1321795584.

The previous prime is 6696406043. The next prime is 6696406081. The reversal of 6696406080 is 806046966.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6696406081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40098157 + ... + 40098323.

Almost surely, 26696406080 is an apocalyptic number.

6696406080 is a gapful number since it is divisible by the number (60) 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 6696406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15613855488).

6696406080 is an abundant number, since it is smaller than the sum of its proper divisors (24531304896).

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

6696406080 is a wasteful number, since it uses less digits than its factorization.

6696406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6696406080 is about 81831.5714134832. The cubic root of 6696406080 is about 1884.8664925719.

The spelling of 6696406080 in words is "six billion, six hundred ninety-six million, four hundred six thousand, eighty".