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6990077952 = 213331113217
BaseRepresentation
bin1101000001010010…
…00010000000000000
3200001011001202022000
412200221002000000
5103303424443302
63113341344000
7335135453004
oct64051020000
920034052260
106990077952
112a67798030
121430b68000
13875240a00
144a44d6704
152ada0931c
hex1a0a42000

6990077952 has 672 divisors, whose sum is σ = 25903488960. Its totient is φ = 1840250880.

The previous prime is 6990077929. The next prime is 6990077971. The reversal of 6990077952 is 2597700996.

It is a super-2 number, since 2×69900779522 = 97722379550073028608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411181048 + ... + 411181064.

Almost surely, 26990077952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6990077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12951744480).

6990077952 is an abundant number, since it is smaller than the sum of its proper divisors (18913411008).

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

6990077952 is a wasteful number, since it uses less digits than its factorization.

6990077952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The square root of 6990077952 is about 83606.6860484256. The cubic root of 6990077952 is about 1912.0269365906.

The spelling of 6990077952 in words is "six billion, nine hundred ninety million, seventy-seven thousand, nine hundred fifty-two".