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8130068480 = 216543577
BaseRepresentation
bin1111001001001011…
…10000000000000000
3202222121011021022102
413210211300000000
5113122244142410
63422423325532
7405320304362
oct74445600000
922877137272
108130068480
1134a2236866
1216aa8b08a8
139c7483b11
14571a84d32
15328b3e2a5
hex1e4970000

8130068480 has 136 divisors (see below), whose sum is σ = 20000386032. Its totient is φ = 3170893824.

The previous prime is 8130068447. The next prime is 8130068503. The reversal of 8130068480 is 848600318.

It is a congruent number.

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, 14089952 + ... + 14090528.

It is an arithmetic number, because the mean of its divisors is an integer number (147061662).

Almost surely, 28130068480 is an apocalyptic number.

8130068480 is a gapful number since it is divisible by the number (80) 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 8130068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10000193016).

8130068480 is an abundant number, since it is smaller than the sum of its proper divisors (11870317552).

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

8130068480 is an frugal number, since it uses more digits than its factorization.

8130068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 8130068480 is about 90166.8923718678. The cubic root of 8130068480 is about 2010.7808225152.

Adding to 8130068480 its reverse (848600318), we get a palindrome (8978668798).

The spelling of 8130068480 in words is "eight billion, one hundred thirty million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 577 640 688 860 1024 1154 1280 1376 1720 2048 2308 2560 2752 2885 3440 4096 4616 5120 5504 5770 6880 8192 9232 10240 11008 11540 13760 16384 18464 20480 22016 23080 24811 27520 32768 36928 40960 44032 46160 49622 55040 65536 73856 81920 88064 92320 99244 110080 124055 147712 163840 176128 184640 198488 220160 248110 295424 327680 352256 369280 396976 440320 496220 590848 704512 738560 793952 880640 992440 1181696 1409024 1477120 1587904 1761280 1984880 2363392 2818048 2954240 3175808 3522560 3969760 4726784 5908480 6351616 7045120 7939520 9453568 11816960 12703232 14090240 15879040 18907136 23633920 25406464 31758080 37814272 47267840 50812928 63516160 94535680 101625856 127032320 189071360 203251712 254064640 406503424 508129280 813006848 1016258560 1626013696 2032517120 4065034240 8130068480