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132757015400 = 23521739046181
BaseRepresentation
bin111101110100011101…
…1110100101101101000
3110200200001202010202022
41323220323310231220
54133341243443100
6140553203324012
712406562004062
oct1735073645550
9420601663668
10132757015400
1151335968659
1221890080608
13c6991318a9
1465d5700732
1536bee0be85
hex1ee8ef4b68

132757015400 has 48 divisors (see below), whose sum is σ = 326816543340. Its totient is φ = 49979110400.

The previous prime is 132757015399. The next prime is 132757015411. The reversal of 132757015400 is 4510757231.

It can be written as a sum of positive squares in 6 ways, for example, as 109028077636 + 23728937764 = 330194^2 + 154042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19519691 + ... + 19526490.

Almost surely, 2132757015400 is an apocalyptic number.

132757015400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132757015400 is an abundant number, since it is smaller than the sum of its proper divisors (194059527940).

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

132757015400 is a wasteful number, since it uses less digits than its factorization.

132757015400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39046214 (or 39046205 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 132757015400 in words is "one hundred thirty-two billion, seven hundred fifty-seven million, fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 39046181 78092362 156184724 195230905 312369448 390461810 663785077 780923620 976154525 1327570154 1561847240 1952309050 2655140308 3318925385 3904618100 5310280616 6637850770 7809236200 13275701540 16594626925 26551403080 33189253850 66378507700 132757015400