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132546565120 = 210531878123
BaseRepresentation
bin111101101110001100…
…1000001010000000000
3110200010101202011020111
41323130121001100000
54132423410040440
6140520244521104
712401425133314
oct1733431012000
9420111664214
10132546565120
1151238098202
12218316b0194
13c664658ab8
1465b579bb44
1536ab6db4ea
hex1edc641400

132546565120 has 88 divisors (see below), whose sum is σ = 318095349984. Its totient is φ = 52995465216.

The previous prime is 132546565117. The next prime is 132546565127. The reversal of 132546565120 is 21565645231.

It is a super-2 number, since 2×1325465651202 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132546565127) 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, 16313379 + ... + 16321501.

Almost surely, 2132546565120 is an apocalyptic number.

132546565120 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 132546565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159047674992).

132546565120 is an abundant number, since it is smaller than the sum of its proper divisors (185548784864).

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

132546565120 is an equidigital number, since it uses as much as digits as its factorization.

132546565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 132546565120 in words is "one hundred thirty-two billion, five hundred forty-six million, five hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3187 5120 6374 8123 12748 15935 16246 25496 31870 32492 40615 50992 63740 64984 81230 101984 127480 129968 162460 203968 254960 259936 324920 407936 509920 519872 649840 815872 1019840 1039744 1299680 1631744 2039680 2079488 2599360 3263488 4079360 4158976 5198720 8158720 8317952 10397440 16317440 20794880 25888001 41589760 51776002 103552004 129440005 207104008 258880010 414208016 517760020 828416032 1035520040 1656832064 2071040080 3313664128 4142080160 6627328256 8284160320 13254656512 16568320640 26509313024 33136641280 66273282560 132546565120