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59392742352 = 2431924122039
BaseRepresentation
bin110111010100000101…
…010101001111010000
312200022011220220212020
4313110011111033100
51433114020223402
643141252331440
74201543660146
oct672405251720
9180264826766
1059392742352
1123208722439
12b616613b80
1357a69c0038
142c35d7b596
15182929e8bc
hexdd41553d0

59392742352 has 180 divisors, whose sum is σ = 166058880480. Its totient is φ = 18289175040.

The previous prime is 59392742351. The next prime is 59392742389. The reversal of 59392742352 is 25324729395.

It is a junction number, because it is equal to n+sod(n) for n = 59392742295 and 59392742304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59392742351) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 29127349 + ... + 29129387.

It is an arithmetic number, because the mean of its divisors is an integer number (922549336).

Almost surely, 259392742352 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 59392742352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83029440240).

59392742352 is an abundant number, since it is smaller than the sum of its proper divisors (106666138128).

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

59392742352 is a wasteful number, since it uses less digits than its factorization.

59392742352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2104 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The spelling of 59392742352 in words is "fifty-nine billion, three hundred ninety-two million, seven hundred forty-two thousand, three hundred fifty-two".