Search a number
-
+
1306066433646 = 231329911633803
BaseRepresentation
bin10011000000010111101…
…000000011011001101110
311121212012000102012201210
4103000113220003121232
5132344311001334041
62435555412215250
7163234354341012
oct23002750033156
94555160365653
101306066433646
114639994a8617
1219115b00a526
1396213b83650
14472dd12c542
1523e917d2016
hex13017a0366e

1306066433646 has 64 divisors (see below), whose sum is σ = 2913267409920. Its totient is φ = 387582599040.

The previous prime is 1306066433597. The next prime is 1306066433653. The reversal of 1306066433646 is 6463346606031.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1306066433595 and 1306066433604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743781 + ... + 2377583.

It is an arithmetic number, because the mean of its divisors is an integer number (45519803280).

Almost surely, 21306066433646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306066433646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456633704960).

1306066433646 is an abundant number, since it is smaller than the sum of its proper divisors (1607200976274).

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

1306066433646 is a wasteful number, since it uses less digits than its factorization.

1306066433646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634761.

The product of its (nonzero) digits is 3359232, while the sum is 48.

The spelling of 1306066433646 in words is "one trillion, three hundred six billion, sixty-six million, four hundred thirty-three thousand, six hundred forty-six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 754 911 1131 1822 2262 2733 5466 11843 23686 26419 35529 52838 71058 79257 158514 343447 633803 686894 1030341 1267606 1901409 2060682 3802818 8239439 16478878 18380287 24718317 36760574 49436634 55140861 110281722 238943731 477887462 577394533 716831193 1154789066 1433662386 1732183599 3464367198 7506128929 15012257858 16744441457 22518386787 33488882914 45036773574 50233324371 100466648742 217677738941 435355477882 653033216823 1306066433646