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4162068480 = 2133533871
BaseRepresentation
bin1111100000010100…
…0010000000000000
3101202001122222121110
43320011002000000
532010442142410
61524555323320
7205065666303
oct37005020000
911661588543
104162068480
111846419719
12981a50540
1351438781b
142b6aa0b3a
151955da720
hexf8142000

4162068480 has 112 divisors (see below), whose sum is σ = 13318199424. Its totient is φ = 1109852160.

The previous prime is 4162068467. The next prime is 4162068497. The reversal of 4162068480 is 848602614.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105945 + ... + 139815.

Almost surely, 24162068480 is an apocalyptic number.

4162068480 is a gapful number since it is divisible by the number (40) 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 4162068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659099712).

4162068480 is an abundant number, since it is smaller than the sum of its proper divisors (9156130944).

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

4162068480 is an equidigital number, since it uses as much as digits as its factorization.

4162068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33905 (or 33881 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4162068480 is about 64514.0952040715. The cubic root of 4162068480 is about 1608.5568230748.

The spelling of 4162068480 in words is "four billion, one hundred sixty-two million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 20480 24576 30720 33871 40960 61440 67742 101613 122880 135484 169355 203226 270968 338710 406452 508065 541936 677420 812904 1016130 1083872 1354840 1625808 2032260 2167744 2709680 3251616 4064520 4335488 5419360 6503232 8129040 8670976 10838720 13006464 16258080 17341952 21677440 26012928 32516160 34683904 43354880 52025856 65032320 69367808 86709760 104051712 130064640 138735616 173419520 208103424 260129280 277471232 346839040 416206848 520258560 693678080 832413696 1040517120 1387356160 2081034240 4162068480