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52400182703040 = 26345471671811423
BaseRepresentation
bin10111110101000010111100…
…10001101011001111000000
320212112102000211100202120000
423322201132101223033000
523332011033232444130
6303240151150320000
714015534242654134
oct1372413621531700
9225472024322500
1052400182703040
111577287a07a817
125a6360b1b9000
132331415404993
14cd227a6193c4
1560d0b05c5260
hex2fa85e46b3c0

52400182703040 has 1120 divisors, whose sum is σ = 192695795195904. Its totient is φ = 13509576990720.

The previous prime is 52400182703027. The next prime is 52400182703047. The reversal of 52400182703040 is 4030728100425.

It is a happy number.

52400182703040 is a `hidden beast` number, since 5 + 2 + 400 + 182 + 7 + 0 + 30 + 40 = 666.

52400182703040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 52400182702986 and 52400182703004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52400182703047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36823739769 + ... + 36823741191.

Almost surely, 252400182703040 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 52400182703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96347897597952).

52400182703040 is an abundant number, since it is smaller than the sum of its proper divisors (140295612492864).

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

52400182703040 is a wasteful number, since it uses less digits than its factorization.

52400182703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 52400182703040 in words is "fifty-two trillion, four hundred billion, one hundred eighty-two million, seven hundred three thousand, forty".