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54252050070240 = 253251137383241691
BaseRepresentation
bin11000101010111100010100…
…01011000011101011100000
321010002110000122112011212200
430111132022023003223200
524102331144304221430
6311215014151053200
714266403242605201
oct1425361213035340
9233073018464780
1054252050070240
111631718aa0a030
1261024b1971200
132436c3c235cb9
14d57b557295a8
156413488d7460
hex31578a2c3ae0

54252050070240 has 576 divisors, whose sum is σ = 207966553546752. Its totient is φ = 12763088179200.

The previous prime is 54252050070227. The next prime is 54252050070313. The reversal of 54252050070240 is 4207005025245.

54252050070240 is a `hidden beast` number, since 5 + 4 + 25 + 20 + 500 + 70 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54252050070195 and 54252050070204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 224347795 + ... + 224589485.

It is an arithmetic number, because the mean of its divisors is an integer number (361053044352).

Almost surely, 254252050070240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54252050070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103983276773376).

54252050070240 is an abundant number, since it is smaller than the sum of its proper divisors (153714503476512).

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

54252050070240 is a wasteful number, since it uses less digits than its factorization.

54252050070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242143 (or 242132 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

Adding to 54252050070240 its reverse (4207005025245), we get a palindrome (58459055095485).

The spelling of 54252050070240 in words is "fifty-four trillion, two hundred fifty-two billion, fifty million, seventy thousand, two hundred forty".