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57913385104 = 2417235392
BaseRepresentation
bin110101111011111010…
…000010000010010000
312112111002020210020001
4311323322002002100
51422101311310404
642334404455344
74120101436231
oct657372020220
9175432223201
1057913385104
1122619661443
12b2830aa554
1355cc377913
142b356cd088
15178e4817a4
hexd7be82090

57913385104 has 45 divisors (see below), whose sum is σ = 119229556537. Its totient is φ = 27245656832.

The previous prime is 57913385071. The next prime is 57913385137. The reversal of 57913385104 is 40158331975.

It is a happy number.

The square root of 57913385104 is 240652.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (57913385071) and next prime (57913385137).

It can be written as a sum of positive squares in only one way, i.e., 45088275600 + 12825109504 = 212340^2 + 113248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16362567 + ... + 16366105.

Almost surely, 257913385104 is an apocalyptic number.

57913385104 is the 240652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57913385104

57913385104 is an abundant number, since it is smaller than the sum of its proper divisors (61316171433).

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

57913385104 is an frugal number, since it uses more digits than its factorization.

57913385104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 57913385104 in words is "fifty-seven billion, nine hundred thirteen million, three hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3539 4624 7078 14156 28312 56624 60163 120326 240652 481304 962608 1022771 2045542 4091084 8182168 12524521 16364336 25049042 50098084 100196168 200392336 212916857 425833714 851667428 1703334856 3406669712 3619586569 7239173138 14478346276 28956692552 57913385104