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6750978960 = 2435116738167
BaseRepresentation
bin1100100100110001…
…11100001110010000
3122102111011021010210
412102120330032100
5102311222311320
63033520524120
7326203242255
oct62230741620
918374137123
106750978960
11295482a460
121384a80640
1383784700b
1448085742c
15297a2a0e0
hex19263c390

6750978960 has 160 divisors (see below), whose sum is σ = 23171945472. Its totient is φ = 1612131840.

The previous prime is 6750978931. The next prime is 6750978989. The reversal of 6750978960 is 698790576.

It is an interprime number because it is at equal distance from previous prime (6750978931) and next prime (6750978989).

It is a self number, because there is not a number n which added to its sum of digits gives 6750978960.

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, 157797 + ... + 195963.

Almost surely, 26750978960 is an apocalyptic number.

6750978960 is a gapful number since it is divisible by the number (60) 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 6750978960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11585972736).

6750978960 is an abundant number, since it is smaller than the sum of its proper divisors (16420966512).

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

6750978960 is a wasteful number, since it uses less digits than its factorization.

6750978960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38261 (or 38255 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The square root of 6750978960 is about 82164.3411706076. The cubic root of 6750978960 is about 1889.9729343007.

The spelling of 6750978960 in words is "six billion, seven hundred fifty million, nine hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 67 80 88 110 120 132 134 165 176 201 220 240 264 268 330 335 402 440 528 536 660 670 737 804 880 1005 1072 1320 1340 1474 1608 2010 2211 2640 2680 2948 3216 3685 4020 4422 5360 5896 7370 8040 8844 11055 11792 14740 16080 17688 22110 29480 35376 38167 44220 58960 76334 88440 114501 152668 176880 190835 229002 305336 381670 419837 458004 572505 610672 763340 839674 916008 1145010 1259511 1526680 1679348 1832016 2099185 2290020 2519022 2557189 3053360 3358696 4198370 4580040 5038044 5114378 6297555 6717392 7671567 8396740 9160080 10076088 10228756 12595110 12785945 15343134 16793480 20152176 20457512 25190220 25571890 28129079 30686268 33586960 38357835 40915024 50380440 51143780 56258158 61372536 76715670 84387237 100760880 102287560 112516316 122745072 140645395 153431340 168774474 204575120 225032632 281290790 306862680 337548948 421936185 450065264 562581580 613725360 675097896 843872370 1125163160 1350195792 1687744740 2250326320 3375489480 6750978960