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132320446812 = 223229539672473
BaseRepresentation
bin111101100111011101…
…0011100100101011100
3110122112122021011020100
41323032322130211130
54131443013244222
6140442010221100
712363011145261
oct1731672344534
9418478234210
10132320446812
1151131496174
1221789a24790
13c629858598
14659373b268
1536969234ac
hex1ecee9c95c

132320446812 has 144 divisors (see below), whose sum is σ = 353046133440. Its totient is φ = 41722297344.

The previous prime is 132320446793. The next prime is 132320446837. The reversal of 132320446812 is 218644023231.

132320446812 is a `hidden beast` number, since 132 + 3 + 2 + 0 + 446 + 81 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53504808 + ... + 53507280.

It is an arithmetic number, because the mean of its divisors is an integer number (2451709260).

Almost surely, 2132320446812 is an apocalyptic number.

132320446812 is a gapful number since it is divisible by the number (12) 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 132320446812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176523066720).

132320446812 is an abundant number, since it is smaller than the sum of its proper divisors (220725686628).

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

132320446812 is a wasteful number, since it uses less digits than its factorization.

132320446812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 132320446812 in words is "one hundred thirty-two billion, three hundred twenty million, four hundred forty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 53 58 87 106 116 159 174 212 261 318 348 477 522 636 954 967 1044 1537 1908 1934 2473 2901 3074 3868 4611 4946 5802 6148 7419 8703 9222 9892 11604 13833 14838 17406 18444 22257 27666 28043 29676 34812 44514 51251 55332 56086 71717 84129 89028 102502 112172 131069 143434 153753 168258 205004 215151 252387 262138 286868 307506 336516 393207 430302 461259 504774 524276 615012 645453 786414 860604 922518 1009548 1179621 1290906 1486279 1572828 1845036 2359242 2391391 2581812 2972558 3801001 4458837 4718484 4782782 5945116 7174173 7602002 8917674 9565564 11403003 13376511 14348346 15204004 17835348 21522519 22806006 26753022 28696692 34209009 43045038 45612012 53506044 68418018 69350339 86090076 126743723 136836036 138700678 208051017 253487446 277401356 380231169 416102034 506974892 624153051 760462338 832204068 1140693507 1248306102 1520924676 2281387014 2496612204 3675567967 4562774028 7351135934 11026703901 14702271868 22053407802 33080111703 44106815604 66160223406 132320446812