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53108352000 = 2103353112127
BaseRepresentation
bin110001011101100000…
…010010010000000000
312002002012201210222000
4301131200102100000
51332231214231000
640221520144000
73560034354324
oct613540222000
9162065653860
1053108352000
1120583309a00
12a361a68000
135014a30472
1427db49d984
1515ac6dd000
hexc5d812400

53108352000 has 1056 divisors, whose sum is σ = 217452318720. Its totient is φ = 12773376000.

The previous prime is 53108351993. The next prime is 53108352001. The reversal of 53108352000 is 25380135.

53108352000 is a `hidden beast` number, since 53 + 10 + 83 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53108352001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418175937 + ... + 418176063.

Almost surely, 253108352000 is an apocalyptic number.

53108352000 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 53108352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108726159360).

53108352000 is an abundant number, since it is smaller than the sum of its proper divisors (164343966720).

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

53108352000 is a wasteful number, since it uses less digits than its factorization.

53108352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 53108352000 in words is "fifty-three billion, one hundred eight million, three hundred fifty-two thousand".