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57417034224 = 24311289277401
BaseRepresentation
bin110101011110010100…
…100110100111110000
312111012111021112211010
4311132110212213300
51420042230043344
642213234150520
74101563511144
oct653624464760
9174174245733
1057417034224
1122394467700
12b164a22440
13555059c784
142ac9807224
151760ad98b9
hexd5e5269f0

57417034224 has 240 divisors, whose sum is σ = 165877195680. Its totient is φ = 17098752000.

The previous prime is 57417034223. The next prime is 57417034237. The reversal of 57417034224 is 42243071475.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57417034223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 143184424 + ... + 143184824.

It is an arithmetic number, because the mean of its divisors is an integer number (691154982).

Almost surely, 257417034224 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 57417034224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82938597840).

57417034224 is an abundant number, since it is smaller than the sum of its proper divisors (108460161456).

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

57417034224 is a wasteful number, since it uses less digits than its factorization.

57417034224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 39.

The spelling of 57417034224 in words is "fifty-seven billion, four hundred seventeen million, thirty-four thousand, two hundred twenty-four".