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61713268020 = 22325342851489
BaseRepresentation
bin111001011110011001…
…011011110100110100
312220021220101211122100
4321132121123310310
52002342044034040
644203425302100
74313212060125
oct713631336464
9186256354570
1061713268020
1124199592748
12bb63794930
135a866a0951
142db623004c
151912d77b30
hexe5e65bd34

61713268020 has 36 divisors (see below), whose sum is σ = 187196913540. Its totient is φ = 16456871424.

The previous prime is 61713267991. The next prime is 61713268021. The reversal of 61713268020 is 2086231716.

61713268020 is a `hidden beast` number, since 617 + 1 + 32 + 6 + 8 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9199879056 + 52513388964 = 95916^2 + 229158^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61713268021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171425565 + ... + 171425924.

It is an arithmetic number, because the mean of its divisors is an integer number (5199914265).

Almost surely, 261713268020 is an apocalyptic number.

61713268020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61713268020 is an abundant number, since it is smaller than the sum of its proper divisors (125483645520).

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

61713268020 is a wasteful number, since it uses less digits than its factorization.

61713268020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342851504 (or 342851499 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 61713268020 its reverse (2086231716), we get a palindrome (63799499736).

The spelling of 61713268020 in words is "sixty-one billion, seven hundred thirteen million, two hundred sixty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 342851489 685702978 1028554467 1371405956 1714257445 2057108934 3085663401 3428514890 4114217868 5142772335 6171326802 6857029780 10285544670 12342653604 15428317005 20571089340 30856634010 61713268020