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132248530350 = 232522910133987
BaseRepresentation
bin111101100101010100…
…0000110110110101110
3110122100121221102101200
41323022220012312232
54131321110432400
6140430520550330
712361145650266
oct1731250066656
9418317842350
10132248530350
11510a4936282
12217699223a6
13c617998671
146587d7a7a6
153690469b00
hex1ecaa06dae

132248530350 has 72 divisors (see below), whose sum is σ = 367559744760. Its totient is φ = 34050192960.

The previous prime is 132248530307. The next prime is 132248530357. The reversal of 132248530350 is 53035842231.

132248530350 is a `hidden beast` number, since 1 + 3 + 224 + 85 + 3 + 0 + 350 = 666.

It is a super-2 number, since 2×1322485303502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132248530357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5053944 + ... + 5080043.

It is an arithmetic number, because the mean of its divisors is an integer number (5104996455).

Almost surely, 2132248530350 is an apocalyptic number.

132248530350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132248530350 is an abundant number, since it is smaller than the sum of its proper divisors (235311214410).

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

132248530350 is a wasteful number, since it uses less digits than its factorization.

132248530350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10134034 (or 10134026 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 132248530350 in words is "one hundred thirty-two billion, two hundred forty-eight million, five hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 29 30 45 50 58 75 87 90 145 150 174 225 261 290 435 450 522 725 870 1305 1450 2175 2610 4350 6525 13050 10133987 20267974 30401961 50669935 60803922 91205883 101339870 152009805 182411766 253349675 293885623 304019610 456029415 506699350 587771246 760049025 881656869 912058830 1469428115 1520098050 1763313738 2280147075 2644970607 2938856230 4408284345 4560294150 5289941214 7347140575 8816568690 13224853035 14694281150 22041421725 26449706070 44082843450 66124265175 132248530350