Search a number
-
+
61328978864 = 24171311739949
BaseRepresentation
bin111001000111011111…
…011111001110110000
312212022010021221000122
4321013133133032300
52001100204310424
644101340505412
74300534501436
oct710737371660
9185263257018
1061328978864
11240116785aa
12ba76b4b268
135a24ba040a
142d7b198d56
1518de26945e
hexe477df3b0

61328978864 has 80 divisors (see below), whose sum is σ = 127520632800. Its totient is φ = 28471971840.

The previous prime is 61328978857. The next prime is 61328978869. The reversal of 61328978864 is 46887982316.

It is a super-2 number, since 2×613289788642 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61328978797 and 61328978806.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6159362 + ... + 6169310.

It is an arithmetic number, because the mean of its divisors is an integer number (1594007910).

Almost surely, 261328978864 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 61328978864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63760316400).

61328978864 is an abundant number, since it is smaller than the sum of its proper divisors (66191653936).

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

61328978864 is a wasteful number, since it uses less digits than its factorization.

61328978864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10278 (or 10272 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 62.

The spelling of 61328978864 in words is "sixty-one billion, three hundred twenty-eight million, nine hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 131 136 173 262 272 346 524 692 1048 1384 2096 2227 2768 2941 4454 5882 8908 9949 11764 17816 19898 22663 23528 35632 39796 45326 47056 79592 90652 159184 169133 181304 338266 362608 385271 676532 770542 1303319 1353064 1541084 1721177 2606638 2706128 3082168 3442354 5213276 6164336 6884708 10426552 13769416 20853104 22156423 27538832 29260009 44312846 58520018 88625692 117040036 177251384 225474187 234080072 354502768 450948374 468160144 901896748 1803793496 3607586992 3833061179 7666122358 15332244716 30664489432 61328978864