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13132401642852 = 2237971593193493
BaseRepresentation
bin1011111100011010000000…
…1000101000110101100100
31201111110000122112212112120
42333012200020220311210
53210130124310032402
643532535251145540
72523533104114062
oct277064010506544
951443018485476
1013132401642852
114203469403728
1215811928a52b0
137434c32a259b
1433587c45b032
1517b90d2983bc
hexbf1a0228d64

13132401642852 has 48 divisors (see below), whose sum is σ = 31030741136640. Its totient is φ = 4321973530368.

The previous prime is 13132401642851. The next prime is 13132401642863. The reversal of 13132401642852 is 25824610423131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13132401642851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67773418 + ... + 67966910.

It is an arithmetic number, because the mean of its divisors is an integer number (646473773680).

Almost surely, 213132401642852 is an apocalyptic number.

13132401642852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13132401642852 is an abundant number, since it is smaller than the sum of its proper divisors (17898339493788).

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

13132401642852 is a wasteful number, since it uses less digits than its factorization.

13132401642852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265172 (or 265170 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 13132401642852 in words is "thirteen trillion, one hundred thirty-two billion, four hundred one million, six hundred forty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 79 158 237 316 474 948 71593 143186 193493 214779 286372 386986 429558 580479 773972 859116 1160958 2321916 5655847 11311694 15285947 16967541 22623388 30571894 33935082 45857841 61143788 67870164 91715682 183431364 13852744349 27705488698 41558233047 55410977396 83116466094 166232932188 1094366803571 2188733607142 3283100410713 4377467214284 6566200821426 13132401642852