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61328978865 = 325711214910799
BaseRepresentation
bin111001000111011111…
…011111001110110001
312212022010021221000200
4321013133133032301
52001100204310430
644101340505413
74300534501440
oct710737371661
9185263257020
1061328978865
1124011678600
12ba76b4b269
135a24ba040b
142d7b198d57
1518de269460
hexe477df3b1

61328978865 has 144 divisors (see below), whose sum is σ = 134447040000. Its totient is φ = 25313967360.

The previous prime is 61328978857. The next prime is 61328978869. The reversal of 61328978865 is 56887982316.

61328978865 is a `hidden beast` number, since 613 + 2 + 8 + 9 + 7 + 8 + 8 + 6 + 5 = 666.

It is not a de Polignac number, because 61328978865 - 23 = 61328978857 is a prime.

It is a super-2 number, since 2×613289788652 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (61328978869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5673736 + ... + 5684534.

It is an arithmetic number, because the mean of its divisors is an integer number (933660000).

Almost surely, 261328978865 is an apocalyptic number.

It is an amenable number.

61328978865 is an abundant number, since it is smaller than the sum of its proper divisors (73118061135).

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

61328978865 is a wasteful number, since it uses less digits than its factorization.

61328978865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988 (or 10974 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 61328978865 in words is "sixty-one billion, three hundred twenty-eight million, nine hundred seventy-eight thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 149 165 231 315 363 385 447 495 605 693 745 847 1043 1089 1155 1341 1639 1815 2235 2541 3129 3465 4235 4917 5215 5445 6705 7623 8195 9387 10799 11473 12705 14751 15645 18029 24585 32397 34419 38115 46935 53995 54087 57365 73755 75593 90145 97191 103257 118789 126203 161985 162261 172095 226779 270435 356367 377965 378609 485955 516285 593945 631015 680337 811305 831523 1069101 1133895 1135827 1306679 1609051 1781835 1893045 2494569 3401685 3920037 4157615 4827153 5345505 5679135 6533395 7483707 8045255 9146753 11263357 11760111 12472845 14481459 17699561 19600185 24135765 27440259 33790071 37418535 45733765 53098683 56316785 58800555 72407295 82320777 88497805 101370213 123896927 137201295 159296049 168950355 194695171 265493415 371690781 411603885 506851065 584085513 619484635 796480245 973475855 1115072343 1362866197 1752256539 1858453905 2920427565 4088598591 5575361715 6814330985 8761282695 12265795773 20442992955 61328978865