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57227082310944 = 25347131912769433
BaseRepresentation
bin11010000001100001101111…
…11010011010010100100000
321111121212002202112212110000
431000300313322122110200
530000102031032422234
6321413431512540000
715024343306451160
oct1500606772322440
9244555082485400
1057227082310944
111726396206a697
126502baa0b1600
1325c164c10a520
14101bb3c66c5a0
1569391b1c6899
hex340c37e9a520

57227082310944 has 480 divisors, whose sum is σ = 218044725655680. Its totient is φ = 14298494865408.

The previous prime is 57227082310927. The next prime is 57227082310987. The reversal of 57227082310944 is 44901328072275.

57227082310944 is a `hidden beast` number, since 57 + 2 + 270 + 8 + 2 + 310 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×572270823109442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1903149 + ... + 10866284.

It is an arithmetic number, because the mean of its divisors is an integer number (454259845116).

Almost surely, 257227082310944 is an apocalyptic number.

57227082310944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57227082310944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109022362827840).

57227082310944 is an abundant number, since it is smaller than the sum of its proper divisors (160817643344736).

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

57227082310944 is a wasteful number, since it uses less digits than its factorization.

57227082310944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12769494 (or 12769477 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 57227082310944 in words is "fifty-seven trillion, two hundred twenty-seven billion, eighty-two million, three hundred ten thousand, nine hundred forty-four".