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5955008660 = 2252337439797
BaseRepresentation
bin1011000101111001…
…00011100010010100
3120101000101210011022
411202330203202110
544143440234120
62422524300312
7300366511166
oct54274434224
916330353138
105955008660
1125864a1167
1211a23a1698
1373b975383
14406c5a936
1524cbec025
hex162f23894

5955008660 has 96 divisors (see below), whose sum is σ = 13449300480. Its totient is φ = 2209033728.

The previous prime is 5955008651. The next prime is 5955008681. The reversal of 5955008660 is 668005595.

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, 7471382 + ... + 7472178.

It is an arithmetic number, because the mean of its divisors is an integer number (140096880).

Almost surely, 25955008660 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 5955008660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724650240).

5955008660 is an abundant number, since it is smaller than the sum of its proper divisors (7494291820).

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

5955008660 is a wasteful number, since it uses less digits than its factorization.

5955008660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 44.

The square root of 5955008660 is about 77168.7025937329. The cubic root of 5955008660 is about 1812.5672654228.

The spelling of 5955008660 in words is "five billion, nine hundred fifty-five million, eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 37 46 74 92 115 148 185 230 370 439 460 740 797 851 878 1594 1702 1756 2195 3188 3404 3985 4255 4390 7970 8510 8780 10097 15940 16243 17020 18331 20194 29489 32486 36662 40388 50485 58978 64972 73324 81215 91655 100970 117956 147445 162430 183310 201940 294890 324860 349883 366620 373589 589780 678247 699766 747178 1356494 1399532 1494356 1749415 1867945 2712988 3391235 3498830 3735890 6782470 6997660 7471780 8047309 12945671 13564940 16094618 25891342 32189236 40236545 51782684 64728355 80473090 129456710 160946180 258913420 297750433 595500866 1191001732 1488752165 2977504330 5955008660