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61323799680 = 27335111322383
BaseRepresentation
bin111001000111001011…
…101110110010000000
312212021202112210112000
4321013023232302000
52001042343042210
644101033504000
74300442460663
oct710713566200
9185252483460
1061323799680
1124009760390
12ba75272000
135a23aa8c00
142d7a60b6da
1518dda94ac0
hexe472eec80

61323799680 has 1536 divisors, whose sum is σ = 270940723200. Its totient is φ = 12968017920.

The previous prime is 61323799613. The next prime is 61323799699. The reversal of 61323799680 is 8699732316.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 738840919 + ... + 738841001.

It is an arithmetic number, because the mean of its divisors is an integer number (176393700).

Almost surely, 261323799680 is an apocalyptic number.

61323799680 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 61323799680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135470361600).

61323799680 is an abundant number, since it is smaller than the sum of its proper divisors (209616923520).

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

61323799680 is a wasteful number, since it uses less digits than its factorization.

61323799680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 61323799680 in words is "sixty-one billion, three hundred twenty-three million, seven hundred ninety-nine thousand, six hundred eighty".