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6990572160 = 2734511132341
BaseRepresentation
bin1101000001010101…
…11010101010000000
3200001011222212020000
412200222322222000
5103304041302120
63113400120000
7335142611565
oct64052725200
920034885200
106990572160
112a67aa5370
121431166000
13875384940
144a45c486c
152adaa5990
hex1a0abaa80

6990572160 has 1280 divisors, whose sum is σ = 31350654720. Its totient is φ = 1459814400.

The previous prime is 6990572143. The next prime is 6990572167. The reversal of 6990572160 is 612750996.

It is a happy number.

6990572160 is a `hidden beast` number, since 69 + 9 + 0 + 572 + 16 + 0 = 666.

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 (6990572167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 170501740 + ... + 170501780.

It is an arithmetic number, because the mean of its divisors is an integer number (24492699).

Almost surely, 26990572160 is an apocalyptic number.

6990572160 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 6990572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15675327360).

6990572160 is an abundant number, since it is smaller than the sum of its proper divisors (24360082560).

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

6990572160 is a wasteful number, since it uses less digits than its factorization.

6990572160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 6990572160 is about 83609.6415492855. The cubic root of 6990572160 is about 1912.0719964953.

The spelling of 6990572160 in words is "six billion, nine hundred ninety million, five hundred seventy-two thousand, one hundred sixty".