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57172995360 = 25325133054113
BaseRepresentation
bin110101001111110001…
…101010110100100000
312110120111002002102200
4311033301222310200
51414042241322420
642133115413200
74062541304445
oct651761526440
9173514062380
1057172995360
1122279735698
12b0b7154200
135511b66490
142aa523d9cc
151749481b90
hexd4fc6ad20

57172995360 has 144 divisors (see below), whose sum is σ = 210110826744. Its totient is φ = 14073348096.

The previous prime is 57172995329. The next prime is 57172995403. The reversal of 57172995360 is 6359927175.

57172995360 is a `hidden beast` number, since 5 + 7 + 17 + 2 + 99 + 536 + 0 = 666.

57172995360 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 4 ways, for example, as 48503895696 + 8669099664 = 220236^2 + 93108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 57172995297 and 57172995306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508337 + ... + 1545776.

Almost surely, 257172995360 is an apocalyptic number.

It is an amenable number.

57172995360 is an abundant number, since it is smaller than the sum of its proper divisors (152937831384).

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

57172995360 is a wasteful number, since it uses less digits than its factorization.

57172995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054147 (or 3054136 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 54.

The spelling of 57172995360 in words is "fifty-seven billion, one hundred seventy-two million, nine hundred ninety-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 3054113 6108226 9162339 12216452 15270565 18324678 24432904 27487017 30541130 36649356 39703469 45811695 48865808 54974034 61082260 73298712 79406938 91623390 97731616 109948068 119110407 122164520 137435085 146597424 158813876 183246780 198517345 219896136 238220814 244329040 274870170 293194848 317627752 357331221 366493560 397034690 439792272 476441628 488658080 549740340 595552035 635255504 714662442 732987120 794069380 879584544 952883256 1099480680 1191104070 1270511008 1429324884 1465974240 1588138760 1786656105 1905766512 2198961360 2382208140 2858649768 3176277520 3573312210 3811533024 4397922720 4764416280 5717299536 6352555040 7146624420 9528832560 11434599072 14293248840 19057665120 28586497680 57172995360