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53354925000 = 23325513172937
BaseRepresentation
bin110001101100001100…
…111000101111001000
312002201101201000112100
4301230030320233020
51333232330100000
640302205113400
73566120244126
oct615414705710
9162641630470
1053354925000
112069a511943
12a410558860
135053b43050
142822126916
1515c4196a00
hexc6c338bc8

53354925000 has 1152 divisors, whose sum is σ = 218812557600. Its totient is φ = 11612160000.

The previous prime is 53354924957. The next prime is 53354925061. The reversal of 53354925000 is 52945335.

53354925000 is a `hidden beast` number, since 53 + 354 + 9 + 250 + 0 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 50579110404 + 2775814596 = 224898^2 + 52686^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1442024982 + ... + 1442025018.

Almost surely, 253354925000 is an apocalyptic number.

53354925000 is a gapful number since it is divisible by the number (50) 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 53354925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109406278800).

53354925000 is an abundant number, since it is smaller than the sum of its proper divisors (165457632600).

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

53354925000 is a wasteful number, since it uses less digits than its factorization.

53354925000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 53354925000 in words is "fifty-three billion, three hundred fifty-four million, nine hundred twenty-five thousand".