Search a number
-
+
20765302976 = 2611712331783
BaseRepresentation
bin10011010101101101…
…010110000011000000
31222121011120200120102
4103111231112003000
5320011404143401
613312304301532
71333404106625
oct232555260300
958534520512
1020765302976
118896521520
1240363118a8
131c5c0cc932
14100dbbc34c
1581803c56b
hex4d5b560c0

20765302976 has 112 divisors (see below), whose sum is σ = 45806611968. Its totient is φ = 9260697600.

The previous prime is 20765302963. The next prime is 20765302997. The reversal of 20765302976 is 67920356702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20765302976.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11645381 + ... + 11647163.

Almost surely, 220765302976 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 20765302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22903305984).

20765302976 is an abundant number, since it is smaller than the sum of its proper divisors (25041308992).

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

20765302976 is a wasteful number, since it uses less digits than its factorization.

20765302976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 47.

The spelling of 20765302976 in words is "twenty billion, seven hundred sixty-five million, three hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 142 176 233 284 352 466 568 704 781 932 1136 1562 1783 1864 2272 2563 3124 3566 3728 4544 5126 6248 7132 7456 10252 12496 14264 14912 16543 19613 20504 24992 28528 33086 39226 41008 49984 57056 66172 78452 82016 114112 126593 132344 156904 164032 181973 253186 264688 313808 363946 415439 506372 529376 627616 727892 830878 1012744 1058752 1255232 1392523 1455784 1661756 2025488 2785046 2911568 3323512 4050976 4569829 5570092 5823136 6647024 8101952 9139658 11140184 11646272 13294048 18279316 22280368 26588096 29496169 36558632 44560736 58992338 73117264 89121472 117984676 146234528 235969352 292469056 324457859 471938704 648915718 943877408 1297831436 1887754816 2595662872 5191325744 10382651488 20765302976