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61933922388 = 223213833314817
BaseRepresentation
bin111001101011100011…
…001010100001010100
312220212021121020112100
4321223203022201110
52003320041004023
644241350522100
74321531440252
oct715343124124
9186767536470
1061933922388
11242a20a2628
1210005666330
135ac030a170
142dd766b5d2
151927411c43
hexe6b8ca854

61933922388 has 144 divisors (see below), whose sum is σ = 171180225216. Its totient is φ = 18766218240.

The previous prime is 61933922381. The next prime is 61933922429. The reversal of 61933922388 is 88322933916.

It is a happy number.

61933922388 is a `hidden beast` number, since 6 + 1 + 9 + 339 + 223 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61933922381) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12854956 + ... + 12859772.

It is an arithmetic number, because the mean of its divisors is an integer number (1188751564).

Almost surely, 261933922388 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 61933922388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85590112608).

61933922388 is an abundant number, since it is smaller than the sum of its proper divisors (109246302828).

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

61933922388 is a wasteful number, since it uses less digits than its factorization.

61933922388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5249 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 61933922388 in words is "sixty-one billion, nine hundred thirty-three million, nine hundred twenty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 83 117 156 166 234 249 331 332 468 498 662 747 993 996 1079 1324 1494 1986 2158 2979 2988 3237 3972 4303 4316 4817 5958 6474 8606 9634 9711 11916 12909 12948 14451 17212 19268 19422 25818 27473 28902 38727 38844 43353 51636 54946 57804 62621 77454 82419 86706 109892 125242 154908 164838 173412 187863 247257 250484 329676 357149 375726 399811 494514 563589 714298 751452 799622 989028 1071447 1127178 1199433 1428596 1594427 1599244 2142894 2254356 2398866 3188854 3214341 3598299 4285788 4783281 4797732 5197543 6377708 6428682 7196598 9566562 10395086 12857364 14349843 14393196 15592629 19133124 20727551 20790172 28699686 31185258 41455102 46777887 57399372 62182653 62370516 82910204 93555774 124365306 132337441 186547959 187111548 248730612 264674882 373095918 397012323 529349764 746191836 794024646 1191036969 1588049292 1720386733 2382073938 3440773466 4764147876 5161160199 6881546932 10322320398 15483480597 20644640796 30966961194 61933922388