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57932008740 = 223251718932029
BaseRepresentation
bin110101111101000001…
…000100110100100100
312112112101021222001100
4311331001010310210
51422121043234430
642340312000100
74120415643444
oct657501046444
9175471258040
1057932008740
1122629121681
12b289390030
135603198718
142b37d7a124
151790e0e960
hexd7d044d24

57932008740 has 72 divisors (see below), whose sum is σ = 186063990840. Its totient is φ = 14539797504.

The previous prime is 57932008711. The next prime is 57932008741. The reversal of 57932008740 is 4780023975.

57932008740 is a `hidden beast` number, since 579 + 3 + 2 + 0 + 0 + 8 + 74 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17889597504 + 40042411236 = 133752^2 + 200106^2 .

It is a super-2 number, since 2×579320087402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57932008741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9462955 + ... + 9469074.

It is an arithmetic number, because the mean of its divisors is an integer number (2584222095).

Almost surely, 257932008740 is an apocalyptic number.

It is an amenable number.

57932008740 is an abundant number, since it is smaller than the sum of its proper divisors (128131982100).

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

57932008740 is a wasteful number, since it uses less digits than its factorization.

57932008740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18932061 (or 18932056 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 57932008740 in words is "fifty-seven billion, nine hundred thirty-two million, eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 18932029 37864058 56796087 75728116 94660145 113592174 170388261 189320290 227184348 283980435 321844493 340776522 378640580 567960870 643688986 681553044 851941305 965533479 1135921740 1287377972 1609222465 1703882610 1931066958 2896600437 3218444930 3407765220 3862133916 4827667395 5793200874 6436889860 9655334790 11586401748 14483002185 19310669580 28966004370 57932008740