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53983333574352 = 243371317149953887
BaseRepresentation
bin11000100011000111110010…
…11010111110011011010000
321002010202102100000211011000
430101203321122332123100
524033430331343334402
6310451333500022000
714241111221226060
oct1421437132763320
9232122370024130
1053983333574352
1116223226507466
12607a3b9231900
1324177b667cc90
14d48b4329b3a0
1563936c884c1c
hex3118f96be6d0

53983333574352 has 640 divisors, whose sum is σ = 202067066880000. Its totient is φ = 13390683070464.

The previous prime is 53983333574329. The next prime is 53983333574353. The reversal of 53983333574352 is 25347533338935.

53983333574352 is a `hidden beast` number, since 5 + 3 + 9 + 8 + 3 + 3 + 3 + 3 + 574 + 3 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 53983333574352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53983333574353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1001760753 + ... + 1001814639.

It is an arithmetic number, because the mean of its divisors is an integer number (315729792000).

Almost surely, 253983333574352 is an apocalyptic number.

53983333574352 is a gapful number since it is divisible by the number (52) 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 53983333574352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101033533440000).

53983333574352 is an abundant number, since it is smaller than the sum of its proper divisors (148083733305648).

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

53983333574352 is a wasteful number, since it uses less digits than its factorization.

53983333574352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55440 (or 55428 counting only the distinct ones).

The product of its digits is 367416000, while the sum is 63.

The spelling of 53983333574352 in words is "fifty-three trillion, nine hundred eighty-three billion, three hundred thirty-three million, five hundred seventy-four thousand, three hundred fifty-two".