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132946289268 = 223134096013467
BaseRepresentation
bin111101111010000110…
…1110110001001110100
3110201011020220020200120
41323310031312021310
54134233222224033
6141024044211540
712414350545662
oct1736415661164
9421136806616
10132946289268
1151422794941
1221923539bb0
13c6c9401970
1466128cdc32
1536d18481b3
hex1ef4376274

132946289268 has 96 divisors (see below), whose sum is σ = 335540929920. Its totient is φ = 40726886400.

The previous prime is 132946289263. The next prime is 132946289279. The reversal of 132946289268 is 862982649231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132946289263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38344471 + ... + 38347937.

It is an arithmetic number, because the mean of its divisors is an integer number (3495218020).

Almost surely, 2132946289268 is an apocalyptic number.

It is an amenable number.

132946289268 is an abundant number, since it is smaller than the sum of its proper divisors (202594640652).

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

132946289268 is a wasteful number, since it uses less digits than its factorization.

132946289268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4497 (or 4495 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The spelling of 132946289268 in words is "one hundred thirty-two billion, nine hundred forty-six million, two hundred eighty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 409 601 818 1202 1227 1636 1803 2404 2454 3467 3606 4908 5317 6934 7212 7813 10401 10634 13868 15626 15951 20802 21268 23439 31252 31902 41604 45071 46878 63804 90142 93756 135213 180284 245809 270426 491618 540852 737427 983236 1418003 1474854 2083667 2836006 2949708 3195517 4167334 4254009 5672012 6251001 6391034 8334668 8508018 9586551 12502002 12782068 17016036 18434039 19173102 25004004 27087671 36868078 38346204 54175342 55302117 73736156 81263013 108350684 110604234 162526026 221208468 325052052 852219803 1704439606 2556659409 3408879212 5113318818 10226637636 11078857439 22157714878 33236572317 44315429756 66473144634 132946289268