Search a number
-
+
57212881789440 = 2935131093524287
BaseRepresentation
bin11010000001000111010010…
…11111101110001000000000
321111120111110002202122002010
431000203221133232020000
524444333440214230230
6321403122434252520
715023331355143636
oct1500435137561000
9244514402678063
1057212881789440
1117258935262703
1265002a6427140
1325c01c80c0b90
14101b1926b9356
156933896849b0
hex3408e97ee200

57212881789440 has 320 divisors, whose sum is σ = 197152437436416. Its totient is φ = 14070259187712.

The previous prime is 57212881789439. The next prime is 57212881789457. The reversal of 57212881789440 is 4498718821275.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108862977 + ... + 109387263.

Almost surely, 257212881789440 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 57212881789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98576218718208).

57212881789440 is an abundant number, since it is smaller than the sum of its proper divisors (139939555646976).

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

57212881789440 is a wasteful number, since it uses less digits than its factorization.

57212881789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525419 (or 525403 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 66.

The spelling of 57212881789440 in words is "fifty-seven trillion, two hundred twelve billion, eight hundred eighty-one million, seven hundred eighty-nine thousand, four hundred forty".