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132156743824 = 247191511932131
BaseRepresentation
bin111101100010100100…
…1111110000010010000
3110122010020020011221201
41323011021332002100
54131124111300244
6140413441400544
712355652534140
oct1730511760220
9418106204851
10132156743824
1151058044746
1221743039154
13c60196c501
146579ac6920
153687388ad4
hex1ec527e090

132156743824 has 160 divisors (see below), whose sum is σ = 311827343360. Its totient is φ = 53001216000.

The previous prime is 132156743791. The next prime is 132156743827. The reversal of 132156743824 is 428347651231.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (132156743827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62015239 + ... + 62017369.

It is an arithmetic number, because the mean of its divisors is an integer number (1948920896).

Almost surely, 2132156743824 is an apocalyptic number.

132156743824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132156743824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155913671680).

132156743824 is an abundant number, since it is smaller than the sum of its proper divisors (179670599536).

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

132156743824 is a wasteful number, since it uses less digits than its factorization.

132156743824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2503 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The spelling of 132156743824 in words is "one hundred thirty-two billion, one hundred fifty-six million, seven hundred forty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 151 152 193 266 302 304 386 532 604 772 1057 1064 1208 1351 1544 2114 2128 2131 2416 2702 2869 3088 3667 4228 4262 5404 5738 7334 8456 8524 10808 11476 14668 14917 16912 17048 20083 21616 22952 25669 29143 29336 29834 34096 40166 40489 45904 51338 58286 58672 59668 80332 80978 102676 116572 119336 160664 161956 204001 205352 233144 238672 283423 321328 321781 323912 408002 410704 411283 466288 553717 566846 643562 647824 816004 822566 1107434 1133692 1287124 1632008 1645132 2214868 2252467 2267384 2574248 2878981 3264016 3290264 3876019 4429736 4504934 4534768 5148496 5757962 6113839 6580528 7752038 7814377 8859472 9009868 11515924 12227678 15504076 15628754 18019736 23031848 24455356 31008152 31257508 36039472 42796873 46063696 48910712 54700639 62016304 62103733 62515016 85593746 97821424 109401278 124207466 125030032 171187492 218802556 248414932 342374984 434726131 437605112 496829864 684749968 869452262 875210224 993659728 1179970927 1738904524 2359941854 3477809048 4719883708 6955618096 8259796489 9439767416 16519592978 18879534832 33039185956 66078371912 132156743824