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153048515532 = 22311192315311733
BaseRepresentation
bin1000111010001001100…
…1110000001111001100
3112122001012210011000020
42032202121300033030
510001420404444112
6154150504502140
714025453626433
oct2164231601714
9478035704006
10153048515532
11599a8995a80
12257b377a950
131158101c4c3
14759c5c611a
153eab55848c
hex23a26703cc

153048515532 has 192 divisors, whose sum is σ = 428438384640. Its totient is φ = 41975366400.

The previous prime is 153048515531. The next prime is 153048515591. The reversal of 153048515532 is 235515840351.

It is not an unprimeable number, because it can be changed into a prime (153048515531) 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 63 ways as a sum of consecutive naturals, for example, 88313338 + ... + 88315070.

It is an arithmetic number, because the mean of its divisors is an integer number (2231449920).

Almost surely, 2153048515532 is an apocalyptic number.

153048515532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153048515532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214219192320).

153048515532 is an abundant number, since it is smaller than the sum of its proper divisors (275389869108).

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

153048515532 is a wasteful number, since it uses less digits than its factorization.

153048515532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 153048515532 in words is "one hundred fifty-three billion, forty-eight million, five hundred fifteen thousand, five hundred thirty-two".