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153285823350 = 2325211613731361
BaseRepresentation
bin1000111011000010001…
…1000000101101110110
3112122122202022122010200
42032300203000231312
510002412132321400
6154230223101330
714034365000112
oct2166043005566
9478582278120
10153285823350
115a00a93a940
122585b141846
13115bb239b2a
1475c1d1a742
153ec22d1b00
hex23b08c0b76

153285823350 has 288 divisors, whose sum is σ = 458192468448. Its totient is φ = 36426240000.

The previous prime is 153285823333. The next prime is 153285823357. The reversal of 153285823350 is 53328582351.

It is a happy number.

153285823350 is a `hidden beast` number, since 1 + 5 + 32 + 8 + 582 + 3 + 35 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 153285823296 and 153285823305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153285823357) 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 143 ways as a sum of consecutive naturals, for example, 112626670 + ... + 112628030.

It is an arithmetic number, because the mean of its divisors is an integer number (1590946071).

Almost surely, 2153285823350 is an apocalyptic number.

153285823350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153285823350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229096234224).

153285823350 is an abundant number, since it is smaller than the sum of its proper divisors (304906645098).

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

153285823350 is a wasteful number, since it uses less digits than its factorization.

153285823350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 153285823350 in words is "one hundred fifty-three billion, two hundred eighty-five million, eight hundred twenty-three thousand, three hundred fifty".