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148372833096 = 233293714832
BaseRepresentation
bin1000101000101110110…
…1011100001101001000
3112011222100122212111200
42022023231130031020
54412331421124341
6152054520424200
713501550162265
oct2121355341510
9464870585450
10148372833096
1157a19661614
1224909918060
1310cb74240c7
14727762826c
153cd5d15db6
hex228bb5c348

148372833096 has 72 divisors (see below), whose sum is σ = 402543389430. Its totient is φ = 49371513984.

The previous prime is 148372833071. The next prime is 148372833097. The reversal of 148372833096 is 690338273841.

148372833096 is a `hidden beast` number, since 1 + 483 + 72 + 8 + 3 + 3 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 146393472996 + 1979360100 = 382614^2 + 44490^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (148372833097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 100048371 + ... + 100049853.

Almost surely, 2148372833096 is an apocalyptic number.

It is an amenable number.

148372833096 is an abundant number, since it is smaller than the sum of its proper divisors (254170556334).

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

148372833096 is an equidigital number, since it uses as much as digits as its factorization.

148372833096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 148372833096 in words is "one hundred forty-eight billion, three hundred seventy-two million, eight hundred thirty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 937 1483 1874 2811 2966 3748 4449 5622 5932 7496 8433 8898 11244 11864 13347 16866 17796 22488 26694 33732 35592 53388 67464 106776 1389571 2199289 2779142 4168713 4398578 5558284 6597867 8337426 8797156 11116568 12506139 13195734 16674852 17594312 19793601 25012278 26391468 33349704 39587202 50024556 52782936 79174404 100049112 158348808 2060733793 4121467586 6182201379 8242935172 12364402758 16485870344 18546604137 24728805516 37093208274 49457611032 74186416548 148372833096