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61394432840 = 23513229541953
BaseRepresentation
bin111001001011011001…
…001011001101001000
312212110200110022222222
4321023121023031020
52001213433322330
644112035433212
74302261032366
oct711331131510
9185420408888
1061394432840
11240456140a4
12ba94a55808
135a35609990
142d85b56636
1518e4d980e5
hexe4b64b348

61394432840 has 128 divisors (see below), whose sum is σ = 149846306400. Its totient is φ = 22504366080.

The previous prime is 61394432833. The next prime is 61394432857. The reversal of 61394432840 is 4823449316.

It is a Cunningham number, because it is equal to 2477792-1.

It can be written as a sum of positive squares in 16 ways, for example, as 5118257764 + 56276175076 = 71542^2 + 237226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 61394432791 and 61394432800.

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 31 ways as a sum of consecutive naturals, for example, 64421804 + ... + 64422756.

Almost surely, 261394432840 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 61394432840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74923153200).

61394432840 is an abundant number, since it is smaller than the sum of its proper divisors (88451873560).

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

61394432840 is a wasteful number, since it uses less digits than its factorization.

61394432840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 61394432840 in words is "sixty-one billion, three hundred ninety-four million, four hundred thirty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 229 260 458 520 541 916 953 1082 1145 1832 1906 2164 2290 2705 2977 3812 4328 4580 4765 5410 5954 7033 7624 9160 9530 10820 11908 12389 14066 14885 19060 21640 23816 24778 28132 29770 35165 38120 49556 56264 59540 61945 70330 99112 119080 123889 123890 140660 218237 247778 247780 281320 436474 495556 495560 515573 619445 872948 991112 1031146 1091185 1238890 1610557 1745896 2062292 2182370 2477780 2577865 2837081 3221114 4124584 4364740 4955560 5155730 5674162 6442228 6702449 8052785 8729480 10311460 11348324 12884456 13404898 14185405 16105570 20622920 22696648 26809796 28370810 32211140 33512245 53619592 56741620 64422280 67024490 113483240 118066217 134048980 236132434 268097960 472264868 590331085 944529736 1180662170 1534860821 2361324340 3069721642 4722648680 6139443284 7674304105 12278886568 15348608210 30697216420 61394432840