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132566556160 = 295101512711
BaseRepresentation
bin111101101110110010…
…1010001111000000000
3110200011210100210210101
41323131211101320000
54132444014244120
6140522241212144
712402060064243
oct1733545217000
9420153323711
10132566556160
1151248401825
1221838331054
13c66883810c
1465b82c325a
1536ad33990a
hex1edd951e00

132566556160 has 80 divisors (see below), whose sum is σ = 320996678112. Its totient is φ = 52501504000.

The previous prime is 132566556113. The next prime is 132566556169. The reversal of 132566556160 is 61655665231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132566556160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132566556169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2205 + ... + 514915.

Almost surely, 2132566556160 is an apocalyptic number.

132566556160 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 132566556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160498339056).

132566556160 is an abundant number, since it is smaller than the sum of its proper divisors (188430121952).

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

132566556160 is an equidigital number, since it uses as much as digits as its factorization.

132566556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512835 (or 512819 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 132566556160 in words is "one hundred thirty-two billion, five hundred sixty-six million, five hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1280 1616 2020 2560 3232 4040 6464 8080 12928 16160 25856 32320 51712 64640 129280 258560 512711 1025422 2050844 2563555 4101688 5127110 8203376 10254220 16406752 20508440 32813504 41016880 51783811 65627008 82033760 103567622 131254016 164067520 207135244 258919055 262508032 328135040 414270488 517838110 656270080 828540976 1035676220 1312540160 1657081952 2071352440 3314163904 4142704880 6628327808 8285409760 13256655616 16570819520 26513311232 33141639040 66283278080 132566556160