Search a number
-
+
545143581486672 = 24371795438302081
BaseRepresentation
bin111101111110011100010000…
…1100001101010111001010000
32122111012012212111112000222220
41323330320201201222321100
51032423113023330033142
65211231300512101040
7222553216100340150
oct17374704141527120
92574165774460886
10545143581486672
11148777104981483
125118458a534780
131a524a858b1c7c
14988913943a760
1543056801b42ec
hex1efce2186ae50

545143581486672 has 80 divisors (see below), whose sum is σ = 1704146321976192. Its totient is φ = 146593231994880.

The previous prime is 545143581486649. The next prime is 545143581486683. The reversal of 545143581486672 is 276684185341545.

It is a super-3 number, since 3×5451435814866723 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 545143581486597 and 545143581486606.

It is a congruent number.

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, 47719145329 + ... + 47719156752.

Almost surely, 2545143581486672 is an apocalyptic number.

It is an amenable number.

545143581486672 is an abundant number, since it is smaller than the sum of its proper divisors (1159002740489520).

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

545143581486672 is a wasteful number, since it uses less digits than its factorization.

545143581486672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95438302116 (or 95438302110 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 69.

The spelling of 545143581486672 in words is "five hundred forty-five trillion, one hundred forty-three billion, five hundred eighty-one million, four hundred eighty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 476 714 816 952 1428 1904 2856 5712 95438302081 190876604162 286314906243 381753208324 572629812486 668068114567 763506416648 1145259624972 1336136229134 1527012833296 1622451135377 2004204343701 2290519249944 2672272458268 3244902270754 4008408687402 4581038499888 4867353406131 5344544916536 6489804541508 8016817374804 9734706812262 10689089833072 11357157947639 12979609083016 16033634749608 19469413624524 22714315895278 25959218166032 32067269499216 34071473842917 38938827249048 45428631790556 68142947685834 77877654498096 90857263581112 136285895371668 181714527162224 272571790743336 545143581486672