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132403347256080 = 24357317834238513
BaseRepresentation
bin11110000110101110001110…
…011110101111001100010000
3122100210122011220212201212010
4132012232032132233030100
5114323244023344143310
61145333131422302520
736613553242261605
oct3606561636571420
9570718156781763
10132403347256080
1139207a4286144a
1212a247a5127a40
1358b5774a74394
14249a4db5ac6ac
1510491acc59320
hex786b8e7af310

132403347256080 has 160 divisors (see below), whose sum is σ = 416306438182656. Its totient is φ = 34804354793472.

The previous prime is 132403347256079. The next prime is 132403347256199. The reversal of 132403347256080 is 80652743304231.

It is a super-2 number, since 2×1324033472560802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 29118904 + ... + 33357416.

Almost surely, 2132403347256080 is an apocalyptic number.

132403347256080 is a gapful number since it is divisible by the number (10) 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 132403347256080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208153219091328).

132403347256080 is an abundant number, since it is smaller than the sum of its proper divisors (283903090926576).

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

132403347256080 is a wasteful number, since it uses less digits than its factorization.

132403347256080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240385 (or 4240379 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 132403347256080 in words is "one hundred thirty-two trillion, four hundred three billion, three hundred forty-seven million, two hundred fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 584 730 876 1095 1168 1460 1752 1783 2190 2920 3504 3566 4380 5349 5840 7132 8760 8915 10698 14264 17520 17830 21396 26745 28528 35660 42792 53490 71320 85584 106980 130159 142640 213960 260318 390477 427920 520636 650795 780954 1041272 1301590 1561908 1952385 2082544 2603180 3123816 3904770 4238513 5206360 6247632 7809540 8477026 10412720 12715539 15619080 16954052 21192565 25431078 31238160 33908104 42385130 50862156 63577695 67816208 84770260 101724312 127155390 169540520 203448624 254310780 309411449 339081040 508621560 618822898 928234347 1017243120 1237645796 1547057245 1856468694 2475291592 3094114490 3712937388 4641171735 4950583184 6188228980 7425874776 7557268679 9282343470 12376457960 14851749552 15114537358 18564686940 22671806037 24752915920 30229074716 37129373880 37786343395 45343612074 60458149432 74258747760 75572686790 90687224148 113359030185 120916298864 151145373580 181374448296 226718060370 302290747160 362748896592 453436120740 551680613567 604581494320 906872241480 1103361227134 1655041840701 1813744482960 2206722454268 2758403067835 3310083681402 4413444908536 5516806135670 6620167362804 8275209203505 8826889817072 11033612271340 13240334725608 16550418407010 22067224542680 26480669451216 33100836814020 44134449085360 66201673628040 132403347256080