Search a number
-
+
61719665384 = 231317214332
BaseRepresentation
bin111001011110110001…
…110101101011101000
312220022100102212011202
4321132301311223220
52002400213243014
644204214343332
74313320333256
oct713661655350
9186270385152
1061719665384
11241a2162123
12bb6595ab48
135a87b00780
142db70175d6
1519136dd3de
hexe5ec75ae8

61719665384 has 72 divisors (see below), whose sum is σ = 132480885810. Its totient is φ = 26791643136.

The previous prime is 61719665369. The next prime is 61719665387. The reversal of 61719665384 is 48356691716.

It can be written as a sum of positive squares in 9 ways, for example, as 34980220900 + 26739444484 = 187030^2 + 163522^2 .

It is a super-2 number, since 2×617196653842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61719665387) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43069532 + ... + 43070964.

Almost surely, 261719665384 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 61719665384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240442905).

61719665384 is an abundant number, since it is smaller than the sum of its proper divisors (70761220426).

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

61719665384 is a wasteful number, since it uses less digits than its factorization.

61719665384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 1465 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 56.

The spelling of 61719665384 in words is "sixty-one billion, seven hundred nineteen million, six hundred sixty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1156 1433 1768 2312 2866 3757 5732 7514 11464 15028 18629 24361 30056 37258 48722 74516 97444 149032 194888 316693 414137 633386 828274 1266772 1656548 2053489 2533544 3313096 4106978 5383781 8213956 10767562 16427912 21535124 26695357 34909313 43070248 53390714 69818626 106781428 139637252 213562856 279274504 453821069 593458321 907642138 1186916642 1815284276 2373833284 3630568552 4747666568 7714958173 15429916346 30859832692 61719665384