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6982725248 = 27173786729
BaseRepresentation
bin1101000000011001…
…11110111010000000
3200000122020012021122
412200030332322000
5103300034201443
63112520011412
7335016120362
oct64014767200
920018205248
106982725248
112a63625914
12142a600b68
138738680b5
144a3540d32
152ad055968
hex1a033ee80

6982725248 has 64 divisors (see below), whose sum is σ = 15127446600. Its totient is φ = 3197140992.

The previous prime is 6982725229. The next prime is 6982725257. The reversal of 6982725248 is 8425272896.

It can be written as a sum of positive squares in 4 ways, for example, as 6976926784 + 5798464 = 83528^2 + 2408^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6982725248.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37148 + ... + 123876.

Almost surely, 26982725248 is an apocalyptic number.

6982725248 is a gapful number since it is divisible by the number (68) 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 6982725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7563723300).

6982725248 is an abundant number, since it is smaller than the sum of its proper divisors (8144721352).

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

6982725248 is a wasteful number, since it uses less digits than its factorization.

6982725248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86797 (or 86785 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 53.

The square root of 6982725248 is about 83562.7024933971. The cubic root of 6982725248 is about 1911.3562955105.

The spelling of 6982725248 in words is "six billion, nine hundred eighty-two million, seven hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 272 296 544 592 629 1088 1184 1258 2176 2368 2516 4736 5032 10064 20128 40256 80512 86729 173458 346916 693832 1387664 1474393 2775328 2948786 3208973 5550656 5897572 6417946 11101312 11795144 12835892 23590288 25671784 47180576 51343568 54552541 94361152 102687136 109105082 188722304 205374272 218210164 410748544 436420328 872840656 1745681312 3491362624 6982725248