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57710317340 = 225133167106867
BaseRepresentation
bin110101101111110011…
…011000111100011100
312111221221010212121202
4311233303120330130
51421142320123330
642302312215032
74112054414024
oct655763307434
9174857125552
1057710317340
1122524a73645
12b22709a478
135599288190
142b1674ca84
15177b71d445
hexd6fcd8f1c

57710317340 has 96 divisors (see below), whose sum is σ = 136736323584. Its totient is φ = 20313089280.

The previous prime is 57710317303. The next prime is 57710317351. The reversal of 57710317340 is 4371301775.

It is a happy number.

It is a super-3 number, since 3×577103173403 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57710317294 and 57710317303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486587 + ... + 593453.

It is an arithmetic number, because the mean of its divisors is an integer number (1424336704).

Almost surely, 257710317340 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 57710317340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68368161792).

57710317340 is an abundant number, since it is smaller than the sum of its proper divisors (79026006244).

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

57710317340 is a wasteful number, since it uses less digits than its factorization.

57710317340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106987 (or 106985 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 38.

The spelling of 57710317340 in words is "fifty-seven billion, seven hundred ten million, three hundred seventeen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 67 124 130 134 155 260 268 310 335 403 620 670 806 871 1340 1612 1742 2015 2077 3484 4030 4154 4355 8060 8308 8710 10385 17420 20770 27001 41540 54002 106867 108004 135005 213734 270010 427468 534335 540020 1068670 1389271 2137340 2778542 3312877 5557084 6625754 6946355 7160089 13251508 13892710 14320178 16564385 27785420 28640356 33128770 35800445 43067401 66257540 71600890 86134802 93081157 143201780 172269604 186162314 215337005 221962759 372324628 430674010 443925518 465405785 861348020 887851036 930811570 1109813795 1861623140 2219627590 2885515867 4439255180 5771031734 11542063468 14427579335 28855158670 57710317340