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61304142336 = 293191208961
BaseRepresentation
bin111001000110000000…
…101111101000000000
312212020101120002201020
4321012000233220000
52001022330023321
644055052305440
74300113416643
oct710600575000
9185211502636
1061304142336
1123aa9654548
12ba6a772280
135a1c9b5748
142d77b71a5a
1518dbeb04c6
hexe4602fa00

61304142336 has 80 divisors (see below), whose sum is σ = 164173920768. Its totient is φ = 20327628800.

The previous prime is 61304142161. The next prime is 61304142359. The reversal of 61304142336 is 63324140316.

It is a junction number, because it is equal to n+sod(n) for n = 61304142297 and 61304142306.

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 7 ways as a sum of consecutive naturals, for example, 188896 + ... + 397856.

Almost surely, 261304142336 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 61304142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82086960384).

61304142336 is an abundant number, since it is smaller than the sum of its proper divisors (102869778432).

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

61304142336 is a wasteful number, since it uses less digits than its factorization.

61304142336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209173 (or 209157 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 61304142336 in words is "sixty-one billion, three hundred four million, one hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 191 192 256 382 384 512 573 764 768 1146 1528 1536 2292 3056 4584 6112 9168 12224 18336 24448 36672 48896 73344 97792 146688 208961 293376 417922 626883 835844 1253766 1671688 2507532 3343376 5015064 6686752 10030128 13373504 20060256 26747008 39911551 40120512 53494016 79823102 80241024 106988032 119734653 159646204 160482048 239469306 319292408 320964096 478938612 638584816 957877224 1277169632 1915754448 2554339264 3831508896 5108678528 7663017792 10217357056 15326035584 20434714112 30652071168 61304142336