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61340534244 = 2232112292771753
BaseRepresentation
bin111001001000001011…
…100100010111100100
312212022221001000000200
4321020023210113210
52001111134043434
644102432310500
74301034636543
oct711013442744
9185287030020
1061340534244
1124018150300
12ba7a9a2430
135a273b7c12
142d7c92615a
1518e029d199
hexe482e45e4

61340534244 has 216 divisors, whose sum is σ = 177047041080. Its totient is φ = 17872081920.

The previous prime is 61340534219. The next prime is 61340534251. The reversal of 61340534244 is 44243504316.

61340534244 is a `hidden beast` number, since 6 + 1 + 3 + 405 + 3 + 4 + 244 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 410548644 + 60929985600 = 20262^2 + 246840^2 .

It is a super-2 number, since 2×613405342442 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 61340534199 and 61340534208.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34990872 + ... + 34992624.

Almost surely, 261340534244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61340534244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88523520540).

61340534244 is an abundant number, since it is smaller than the sum of its proper divisors (115706506836).

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

61340534244 is a wasteful number, since it uses less digits than its factorization.

61340534244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 61340534244 in words is "sixty-one billion, three hundred forty million, five hundred thirty-four thousand, two hundred forty-four".