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61378716924 = 22337259196583
BaseRepresentation
bin111001001010011101…
…001110010011111100
312212102120212212211000
4321022131032103330
52001200422420144
644110314530300
74302010325400
oct711235162374
9185376785730
1061378716924
112403775a538
12ba8b736990
135a32296515
142d83a25100
1518e37e1769
hexe4a74e4fc

61378716924 has 144 divisors (see below), whose sum is σ = 188248838400. Its totient is φ = 17239455072.

The previous prime is 61378716887. The next prime is 61378716929. The reversal of 61378716924 is 42961787316.

61378716924 is a `hidden beast` number, since 613 + 7 + 8 + 7 + 16 + 9 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61378716929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213937 + ... + 410519.

It is an arithmetic number, because the mean of its divisors is an integer number (1307283600).

Almost surely, 261378716924 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 61378716924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94124419200).

61378716924 is an abundant number, since it is smaller than the sum of its proper divisors (126870121476).

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

61378716924 is a wasteful number, since it uses less digits than its factorization.

61378716924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196669 (or 196654 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 61378716924 in words is "sixty-one billion, three hundred seventy-eight million, seven hundred sixteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 59 63 84 98 108 118 126 147 177 189 196 236 252 294 354 378 413 441 531 588 708 756 826 882 1062 1239 1323 1593 1652 1764 2124 2478 2646 2891 3186 3717 4956 5292 5782 6372 7434 8673 11151 11564 14868 17346 22302 26019 34692 44604 52038 78057 104076 156114 196583 312228 393166 589749 786332 1179498 1376081 1769247 2358996 2752162 3538494 4128243 5307741 5504324 7076988 8256486 9632567 10615482 11598397 12384729 16512972 19265134 21230964 23196794 24769458 28897701 34795191 37154187 38530268 46393588 49538916 57795402 69590382 74308374 81188779 86693103 104385573 115590804 139180764 148616748 162377558 173386206 208771146 243566337 260079309 313156719 324755116 346772412 417542292 487132674 520158618 568321453 626313438 730699011 974265348 1040317236 1136642906 1252626876 1461398022 1704964359 2192097033 2273285812 2922796044 3409928718 4384194066 5114893077 6819857436 8768388132 10229786154 15344679231 20459572308 30689358462 61378716924