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660000066480 = 243251151796409
BaseRepresentation
bin10011001101010110001…
…00011100101110110000
32100002120112120020102200
421212223010130232300
541303140004111410
61223111055543200
765453263000356
oct11465304345660
92302515506380
10660000066480
112349a49165a7
12a7ab482ab00
134a31240ba21
1423d30b537d6
151227c5d53c0
hex99ab11cbb0

660000066480 has 120 divisors (see below), whose sum is σ = 2218428725760. Its totient is φ = 175846886400.

The previous prime is 660000066461. The next prime is 660000066493. The reversal of 660000066480 is 84660000066.

660000066480 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 0 + 0 + 0 + 6 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 430516 + ... + 1226924.

It is an arithmetic number, because the mean of its divisors is an integer number (18486906048).

Almost surely, 2660000066480 is an apocalyptic number.

660000066480 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 660000066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109214362880).

660000066480 is an abundant number, since it is smaller than the sum of its proper divisors (1558428659280).

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

660000066480 is a wasteful number, since it uses less digits than its factorization.

660000066480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797579 (or 797570 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 660000066480 in words is "six hundred sixty billion, sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1151 2302 3453 4604 5755 6906 9208 10359 11510 13812 17265 18416 20718 23020 27624 34530 41436 46040 51795 55248 69060 82872 92080 103590 138120 165744 207180 276240 414360 796409 828720 1592818 2389227 3185636 3982045 4778454 6371272 7167681 7964090 9556908 11946135 12742544 14335362 15928180 19113816 23892270 28670724 31856360 35838405 38227632 47784540 57341448 63712720 71676810 95569080 114682896 143353620 191138160 286707240 573414480 916666759 1833333518 2750000277 3666667036 4583333795 5500000554 7333334072 8250000831 9166667590 11000001108 13750001385 14666668144 16500001662 18333335180 22000002216 27500002770 33000003324 36666670360 41250004155 44000004432 55000005540 66000006648 73333340720 82500008310 110000011080 132000013296 165000016620 220000022160 330000033240 660000066480