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57228211251240 = 2335172333116372251
BaseRepresentation
bin11010000001100011110110…
…01100111110100000101000
321111121222000102211222101120
431000301323030332200220
530000111334040014430
6321414135522015240
715024413265340251
oct1500617314764050
9244558012758346
1057228211251240
11172643913511a7
1265032641a7520
1325c179bc81a33
14101bc08581b28
15693985377610
hex340c7b33e828

57228211251240 has 512 divisors, whose sum is σ = 190461243248640. Its totient is φ = 13682718720000.

The previous prime is 57228211251187. The next prime is 57228211251241. The reversal of 57228211251240 is 4215211282275.

It is a junction number, because it is equal to n+sod(n) for n = 57228211251192 and 57228211251201.

It is not an unprimeable number, because it can be changed into a prime (57228211251241) 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, 25423460115 + ... + 25423462365.

It is an arithmetic number, because the mean of its divisors is an integer number (371994615720).

Almost surely, 257228211251240 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 57228211251240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95230621624320).

57228211251240 is an abundant number, since it is smaller than the sum of its proper divisors (133233031997400).

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

57228211251240 is a wasteful number, since it uses less digits than its factorization.

57228211251240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 57228211251240 in words is "fifty-seven trillion, two hundred twenty-eight billion, two hundred eleven million, two hundred fifty-one thousand, two hundred forty".