Search a number
-
+
1348468784640 = 2933519509097
BaseRepresentation
bin10011100111110111000…
…000001011111000000000
311202220122002220211021000
4103213313000023320000
5134043131002102030
62511251125532000
7166265212356405
oct23476700137000
94686562824230
101348468784640
1147a9785244aa
12199413574000
139a210865973
14493a27ac2ac
1525124156860
hex139f700be00

1348468784640 has 160 divisors (see below), whose sum is σ = 4789873740960. Its totient is φ = 359591657472.

The previous prime is 1348468784623. The next prime is 1348468784659. The reversal of 1348468784640 is 464878648431.

1348468784640 is a `hidden beast` number, since 1 + 3 + 48 + 4 + 68 + 78 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9685429 + ... + 9823668.

It is an arithmetic number, because the mean of its divisors is an integer number (29936710881).

Almost surely, 21348468784640 is an apocalyptic number.

1348468784640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348468784640 is an abundant number, since it is smaller than the sum of its proper divisors (3441404956320).

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

1348468784640 is an equidigital number, since it uses as much as digits as its factorization.

1348468784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19509129 (or 19509107 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 1348468784640 in words is "one trillion, three hundred forty-eight billion, four hundred sixty-eight million, seven hundred eighty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 19509097 39018194 58527291 78036388 97545485 117054582 156072776 175581873 195090970 234109164 292636455 312145552 351163746 390181940 468218328 526745619 585272910 624291104 702327492 780363880 877909365 936436656 1053491238 1170545820 1248582208 1404654984 1560727760 1755818730 1872873312 2106982476 2341091640 2497164416 2633728095 2809309968 3121455520 3511637460 3745746624 4213964952 4682183280 4994328832 5267456190 5618619936 6242911040 7023274920 7491493248 8427929904 9364366560 9988657664 10534912380 11237239872 12485822080 14046549840 14982986496 16855859808 18728733120 21069824760 22474479744 24971644160 28093099680 29965972992 33711719616 37457466240 42139649520 44948959488 49943288320 56186199360 67423439232 74914932480 84279299040 89897918976 112372398720 134846878464 149829864960 168558598080 224744797440 269693756928 337117196160 449489594880 674234392320 1348468784640