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6992997120 = 283251943743
BaseRepresentation
bin1101000001101000…
…01010101100000000
3200001100120001122100
412200310022230000
5103310201401440
63113524110400
7335202331464
oct64064125400
920040501570
106992997120
112a6940126a
121431b35400
13875a23625
144a4a564a4
152addd4230
hex1a0d0ab00

6992997120 has 432 divisors, whose sum is σ = 26095829760. Its totient is φ = 1723244544.

The previous prime is 6992997061. The next prime is 6992997199. The reversal of 6992997120 is 217992996.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9411469 + ... + 9412211.

Almost surely, 26992997120 is an apocalyptic number.

6992997120 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 6992997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047914880).

6992997120 is an abundant number, since it is smaller than the sum of its proper divisors (19102832640).

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

6992997120 is a wasteful number, since it uses less digits than its factorization.

6992997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 6992997120 is about 83624.1419686923. The cubic root of 6992997120 is about 1912.2930638588.

The spelling of 6992997120 in words is "six billion, nine hundred ninety-two million, nine hundred ninety-seven thousand, one hundred twenty".