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11000066480 = 2451323577797
BaseRepresentation
bin10100011111010011…
…11011000110110000
31001101121120021102122
422033221323012300
5140012004111410
65015305333412
7536410010444
oct121751730660
931347507378
1011000066480
114735283837
12216ba97268
131063c4b9a0
14764cca824
15445aa3e55
hex28fa7b1b0

11000066480 has 160 divisors (see below), whose sum is σ = 28825905024. Its totient is φ = 3873374208.

The previous prime is 11000066471. The next prime is 11000066501. The reversal of 11000066480 is 8466000011.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 13801442 + ... + 13802238.

Almost surely, 211000066480 is an apocalyptic number.

11000066480 is a gapful number since it is divisible by the number (10) 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 11000066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14412952512).

11000066480 is an abundant number, since it is smaller than the sum of its proper divisors (17825838544).

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

11000066480 is a wasteful number, since it uses less digits than its factorization.

11000066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 11000066480 its reverse (8466000011), we get a palindrome (19466066491).

The spelling of 11000066480 in words is "eleven billion, sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 577 598 797 920 1040 1154 1196 1495 1594 1840 2308 2392 2885 2990 3188 3985 4616 4784 5770 5980 6376 7501 7970 9232 10361 11540 11960 12752 13271 15002 15940 18331 20722 23080 23920 26542 30004 31880 36662 37505 41444 46160 51805 53084 60008 63760 66355 73324 75010 82888 91655 103610 106168 120016 132710 146648 150020 165776 172523 183310 207220 212336 238303 265420 293296 300040 345046 366620 414440 459869 476606 530840 600080 690092 733240 828880 862615 919738 953212 1061680 1191515 1380184 1466480 1725230 1839476 1906424 2299345 2383030 2760368 3450460 3678952 3812848 4598690 4766060 5978297 6900920 7357904 9197380 9532120 10576987 11956594 13801840 18394760 19064240 21153974 23913188 29891485 36789520 42307948 47826376 52884935 59782970 84615896 95652752 105769870 119565940 137500831 169231792 211539740 239131880 275001662 423079480 478263760 550003324 687504155 846158960 1100006648 1375008310 2200013296 2750016620 5500033240 11000066480