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132220456206320 = 24519292999556629
BaseRepresentation
bin11110000100000011111001…
…010100101111111111110000
3122100011011002221002202220102
4132010003321110233333300
5114312244443242100240
61145113123344331532
736564420110066156
oct3604037124577760
9570134087082812
10132220456206320
1139147420603849
12129b5263313ba8
1358a14491a3c01
14249170b84b3d6
15104455682d815
hex7840f952fff0

132220456206320 has 80 divisors (see below), whose sum is σ = 334750519908000. Its totient is φ = 48376849296384.

The previous prime is 132220456206253. The next prime is 132220456206337. The reversal of 132220456206320 is 23602654022231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 1499734235 + ... + 1499822394.

It is an arithmetic number, because the mean of its divisors is an integer number (4184381498850).

Almost surely, 2132220456206320 is an apocalyptic number.

132220456206320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132220456206320 is an abundant number, since it is smaller than the sum of its proper divisors (202530063701680).

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

132220456206320 is a wasteful number, since it uses less digits than its factorization.

132220456206320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999556690 (or 2999556684 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 132220456206320 in words is "one hundred thirty-two trillion, two hundred twenty billion, four hundred fifty-six million, two hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 4408 5510 8816 11020 22040 44080 2999556629 5999113258 11998226516 14997783145 23996453032 29995566290 47992906064 56991575951 59991132580 86987142241 113983151902 119982265160 173974284482 227966303804 239964530320 284957879755 347948568964 434935711205 455932607608 569915759510 695897137928 869871422410 911865215216 1139831519020 1391794275856 1652755702579 1739742844820 2279663038040 3305511405158 3479485689640 4559326076080 6611022810316 6958971379280 8263778512895 13222045620632 16527557025790 26444091241264 33055114051580 66110228103160 132220456206320