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6991246080 = 28355713219
BaseRepresentation
bin1101000001011010…
…11111001100000000
3200001020021002200000
412200231133030000
5103304224333310
63113422400000
7335151416430
oct64055371400
920036232600
106991246080
112a68415725
121431430000
1387555c600
144a471c2c0
152adb8a4c0
hex1a0b5f300

6991246080 has 1296 divisors, whose sum is σ = 32677182720. Its totient is φ = 1397440512.

The previous prime is 6991246063. The next prime is 6991246109. The reversal of 6991246080 is 806421996.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×69912460802 = 97755043502230732800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 367960311 + ... + 367960329.

Almost surely, 26991246080 is an apocalyptic number.

6991246080 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 6991246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338591360).

6991246080 is an abundant number, since it is smaller than the sum of its proper divisors (25685936640).

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

6991246080 is a wasteful number, since it uses less digits than its factorization.

6991246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6991246080 is about 83613.6716093726. The cubic root of 6991246080 is about 1912.1334383975.

The spelling of 6991246080 in words is "six billion, nine hundred ninety-one million, two hundred forty-six thousand, eighty".