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154325002432 = 262987794811
BaseRepresentation
bin1000111110111001111…
…1001010100011000000
3112202100011201101211211
42033232133022203000
510012024200034212
6154521304215504
714102213606536
oct2175637124300
9482304641754
10154325002432
115a4a3493527
1225aab16a594
1311725613cb3
14767dd46156
1540336519a7
hex23ee7ca8c0

154325002432 has 56 divisors (see below), whose sum is σ = 317163206160. Its totient is φ = 74415989760.

The previous prime is 154325002339. The next prime is 154325002451. The reversal of 154325002432 is 234200523451.

154325002432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 154325002394 and 154325002403.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1580307 + ... + 1675117.

Almost surely, 2154325002432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154325002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158581603080).

154325002432 is an abundant number, since it is smaller than the sum of its proper divisors (162838203728).

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

154325002432 is an equidigital number, since it uses as much as digits as its factorization.

154325002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95729 (or 95719 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 154325002432 its reverse (234200523451), we get a palindrome (388525525883).

The spelling of 154325002432 in words is "one hundred fifty-four billion, three hundred twenty-five million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 877 928 1754 1856 3508 7016 14032 25433 28064 50866 56128 94811 101732 189622 203464 379244 406928 758488 813856 1516976 1627712 2749519 3033952 5499038 6067904 10998076 21996152 43992304 83149247 87984608 166298494 175969216 332596988 665193976 1330387952 2411328163 2660775904 4822656326 5321551808 9645312652 19290625304 38581250608 77162501216 154325002432