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6981458420 = 225192966961
BaseRepresentation
bin1101000000010000…
…01001100111110100
3200000112211211112002
412200020021213310
5103244223132140
63112432514432
7335002263116
oct64010114764
920015754462
106981458420
112a62940052
12142a0aba18
138735135b1
144a32d13b6
152acda5415
hex1a02099f4

6981458420 has 36 divisors (see below), whose sum is σ = 15473325924. Its totient is φ = 2645602560.

The previous prime is 6981458399. The next prime is 6981458437. The reversal of 6981458420 is 248541896.

It can be written as a sum of positive squares in 2 ways, for example, as 5098245604 + 1883212816 = 71402^2 + 43396^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 476261 + ... + 490700.

It is an arithmetic number, because the mean of its divisors is an integer number (429814609).

Almost surely, 26981458420 is an apocalyptic number.

It is an amenable number.

6981458420 is an abundant number, since it is smaller than the sum of its proper divisors (8491867504).

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

6981458420 is a wasteful number, since it uses less digits than its factorization.

6981458420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967008 (or 966987 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The square root of 6981458420 is about 83555.1220452702. The cubic root of 6981458420 is about 1911.2407004273.

The spelling of 6981458420 in words is "six billion, nine hundred eighty-one million, four hundred fifty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 966961 1933922 3867844 4834805 9669610 18372259 19339220 36744518 73489036 91861295 183722590 349072921 367445180 698145842 1396291684 1745364605 3490729210 6981458420