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10081384512 = 263318320407
BaseRepresentation
bin10010110001110010…
…11011100001000000
3222000120220101200120
421120321123201000
5131121313301022
64344211020240
7504553232403
oct113071334100
928016811616
1010081384512
114303751441
121b5429a680
13c48813aa4
146b8ca9d3a
153e00d6d5c
hex258e5b840

10081384512 has 112 divisors (see below), whose sum is σ = 27867205632. Its totient is φ = 3212720640.

The previous prime is 10081384499. The next prime is 10081384519. The reversal of 10081384512 is 21548318001.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10081384519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483813 + ... + 504219.

It is an arithmetic number, because the mean of its divisors is an integer number (248814336).

Almost surely, 210081384512 is an apocalyptic number.

10081384512 is a gapful number since it is divisible by the number (12) 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 10081384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933602816).

10081384512 is an abundant number, since it is smaller than the sum of its proper divisors (17785821120).

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

10081384512 is a wasteful number, since it uses less digits than its factorization.

10081384512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20536 (or 20526 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The spelling of 10081384512 in words is "ten billion, eighty-one million, three hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 83 93 96 124 166 186 192 248 249 332 372 496 498 664 744 992 996 1328 1488 1984 1992 2573 2656 2976 3984 5146 5312 5952 7719 7968 10292 15438 15936 20407 20584 30876 40814 41168 61221 61752 81628 82336 122442 123504 163256 164672 244884 247008 326512 489768 494016 632617 653024 979536 1265234 1306048 1693781 1897851 1959072 2530468 3387562 3795702 3918144 5060936 5081343 6775124 7591404 10121872 10162686 13550248 15182808 20243744 20325372 27100496 30365616 40487488 40650744 52507211 54200992 60731232 81301488 105014422 108401984 121462464 157521633 162602976 210028844 315043266 325205952 420057688 630086532 840115376 1260173064 1680230752 2520346128 3360461504 5040692256 10081384512