Search a number
-
+
10318656480 = 2535111954291
BaseRepresentation
bin10011001110000101…
…00011001111100000
3222122010101001122020
421213002203033200
5132113034001410
64423524341440
7513464063406
oct114702431740
928563331566
1010318656480
114415681380
121bbb844880
13c85a1acc2
146dc5d1476
15405d54a70
hex2670a33e0

10318656480 has 96 divisors (see below), whose sum is σ = 35458674048. Its totient is φ = 2501491200.

The previous prime is 10318656479. The next prime is 10318656487. The reversal of 10318656480 is 8465681301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×103186564803 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10318656487) 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, 971866 + ... + 982425.

It is an arithmetic number, because the mean of its divisors is an integer number (369361188).

Almost surely, 210318656480 is an apocalyptic number.

10318656480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10318656480 is an abundant number, since it is smaller than the sum of its proper divisors (25140017568).

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

10318656480 is a wasteful number, since it uses less digits than its factorization.

10318656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954320 (or 1954312 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 10318656480 in words is "ten billion, three hundred eighteen million, six hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 1954291 3908582 5862873 7817164 9771455 11725746 15634328 19542910 21497201 23451492 29314365 31268656 39085820 42994402 46902984 58628730 62537312 64491603 78171640 85988804 93805968 107486005 117257460 128983206 156343280 171977608 187611936 214972010 234514920 257966412 312686560 322458015 343955216 429944020 469029840 515932824 644916030 687910432 859888040 938059680 1031865648 1289832060 1719776080 2063731296 2579664120 3439552160 5159328240 10318656480