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11332980864 = 27349911103
BaseRepresentation
bin10101000110111111…
…11001000010000000
31002020211000002010000
422203133321002000
5141202220341424
65112321040000
7550561514352
oct124337710200
932224002100
1011332980864
114896199297
122243486000
1310b7c0214a
147971cb0d2
15464e153c9
hex2a37f9080

11332980864 has 160 divisors (see below), whose sum is σ = 33791408640. Its totient is φ = 3770426880.

The previous prime is 11332980851. The next prime is 11332980907. The reversal of 11332980864 is 46808923311.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10274137 + ... + 10275239.

It is an arithmetic number, because the mean of its divisors is an integer number (211196304).

Almost surely, 211332980864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895704320).

11332980864 is an abundant number, since it is smaller than the sum of its proper divisors (22458427776).

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

11332980864 is an equidigital number, since it uses as much as digits as its factorization.

11332980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11332980864 in words is "eleven billion, three hundred thirty-two million, nine hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 991 1103 1152 1296 1728 1982 2206 2592 2973 3309 3456 3964 4412 5184 5946 6618 7928 8824 8919 9927 10368 11892 13236 15856 17648 17838 19854 23784 26472 26757 29781 31712 35296 35676 39708 47568 52944 53514 59562 63424 70592 71352 79416 80271 89343 95136 105888 107028 119124 126848 141184 142704 158832 160542 178686 190272 211776 214056 238248 285408 317664 321084 357372 380544 423552 428112 476496 570816 635328 642168 714744 856224 952992 1093073 1141632 1270656 1284336 1429488 1712448 1905984 2186146 2568672 2858976 3279219 3424896 3811968 4372292 5137344 5717952 6558438 8744584 9837657 10274688 11435904 13116876 17489168 19675314 26233752 29512971 34978336 39350628 52467504 59025942 69956672 78701256 88538913 104935008 118051884 139913344 157402512 177077826 209870016 236103768 314805024 354155652 419740032 472207536 629610048 708311304 944415072 1259220096 1416622608 1888830144 2833245216 3777660288 5666490432 11332980864