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57208840000 = 265413110017
BaseRepresentation
bin110101010001111010…
…011001111101000000
312110122222112012000221
4311101322121331000
51414130430340000
642140435552424
74063455054664
oct652172317500
9173588465027
1057208840000
1122297998264
12b10715b714
135519406820
142aa9cd08a4
15174c6b261a
hexd51e99f40

57208840000 has 140 divisors (see below), whose sum is σ = 152772975124. Its totient is φ = 21123072000.

The previous prime is 57208839983. The next prime is 57208840019. The reversal of 57208840000 is 4880275.

57208840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 44855851264 + 12352988736 = 211792^2 + 111144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 464992 + ... + 575008.

Almost surely, 257208840000 is an apocalyptic number.

57208840000 is a gapful number since it is divisible by the number (50) 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 57208840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76386487562).

57208840000 is an abundant number, since it is smaller than the sum of its proper divisors (95564135124).

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

57208840000 is a wasteful number, since it uses less digits than its factorization.

57208840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110062 (or 110037 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The spelling of 57208840000 in words is "fifty-seven billion, two hundred eight million, eight hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 625 650 800 832 1000 1040 1250 1300 1600 1625 2000 2080 2500 2600 3250 4000 4160 5000 5200 6500 8000 8125 10000 10400 13000 16250 20000 20800 26000 32500 40000 52000 65000 104000 110017 130000 220034 260000 440068 520000 550085 880136 1100170 1430221 1760272 2200340 2750425 2860442 3520544 4400680 5500850 5720884 7041088 7151105 8801360 11001700 11441768 13752125 14302210 17602720 22003400 22883536 27504250 28604420 35205440 35755525 44006800 45767072 55008500 57208840 68760625 71511050 88013600 91534144 110017000 114417680 137521250 143022100 176027200 178777625 220034000 228835360 275042500 286044200 357555250 440068000 457670720 550085000 572088400 715110500 880136000 893888125 1100170000 1144176800 1430221000 1787776250 2200340000 2288353600 2860442000 3575552500 4400680000 5720884000 7151105000 11441768000 14302210000 28604420000 57208840000