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6981597072 = 243248483313
BaseRepresentation
bin1101000000010001…
…01011011110010000
3200000120002212201100
412200020223132100
5103244242101242
63112435504400
7335003411262
oct64010533620
920016085640
106981597072
112a62a2523a
12142a158100
13873561738
144a3329b32
152acdd154c
hex1a022b790

6981597072 has 30 divisors (see below), whose sum is σ = 19538775542. Its totient is φ = 2327198976.

The previous prime is 6981597067. The next prime is 6981597107. The reversal of 6981597072 is 2707951896.

It can be written as a sum of positive squares in only one way, i.e., 5372303616 + 1609293456 = 73296^2 + 40116^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 24241513 + ... + 24241800.

Almost surely, 26981597072 is an apocalyptic number.

It is an amenable number.

6981597072 is an abundant number, since it is smaller than the sum of its proper divisors (12557178470).

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

6981597072 is a wasteful number, since it uses less digits than its factorization.

6981597072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48483327 (or 48483318 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 6981597072 is about 83555.9517449236. The cubic root of 6981597072 is about 1911.2533527784.

The spelling of 6981597072 in words is "six billion, nine hundred eighty-one million, five hundred ninety-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 48483313 96966626 145449939 193933252 290899878 387866504 436349817 581799756 775733008 872699634 1163599512 1745399268 2327199024 3490798536 6981597072