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57764319744 = 293373100823
BaseRepresentation
bin110101110011000001…
…011001001000000000
312112002200202110222210
4311303001121020000
51421300131212434
642311521502120
74113311421315
oct656301311000
9175080673883
1057764319744
11225524a842a
12b2411a1940
1355a7515271
142b1d9a8d0c
151781338ee9
hexd73059200

57764319744 has 80 divisors (see below), whose sum is σ = 154301856192. Its totient is φ = 19202961408.

The previous prime is 57764319733. The next prime is 57764319751. The reversal of 57764319744 is 44791346775.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522517 + ... + 623339.

Almost surely, 257764319744 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 57764319744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77150928096).

57764319744 is an abundant number, since it is smaller than the sum of its proper divisors (96537536448).

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

57764319744 is a wasteful number, since it uses less digits than its factorization.

57764319744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101217 (or 101201 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 57.

The spelling of 57764319744 in words is "fifty-seven billion, seven hundred sixty-four million, three hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 373 384 512 746 768 1119 1492 1536 2238 2984 4476 5968 8952 11936 17904 23872 35808 47744 71616 95488 100823 143232 190976 201646 286464 302469 403292 572928 604938 806584 1209876 1613168 2419752 3226336 4839504 6452672 9679008 12905344 19358016 25810688 37606979 38716032 51621376 75213958 77432064 112820937 150427916 154864128 225641874 300855832 451283748 601711664 902567496 1203423328 1805134992 2406846656 3610269984 4813693312 7220539968 9627386624 14441079936 19254773248 28882159872 57764319744