Search a number
-
+
49119878362240 = 275774314756741
BaseRepresentation
bin10110010101100100111001…
…11001101011010010000000
320102220210222210000121112001
423022302130321223102000
522414240002330042430
6252245205520113344
713226536243062340
oct1312623471532200
9212823883017461
1049119878362240
1114718694868044
125613917a65854
132153ca53932ba
14c1b5b42c2d20
155a2ac28733ca
hex2cac9ce6b480

49119878362240 has 128 divisors (see below), whose sum is σ = 134383156427520. Its totient is φ = 16818433658880.

The previous prime is 49119878362211. The next prime is 49119878362267. The reversal of 49119878362240 is 4226387891194.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 4049731 + ... + 10707010.

It is an arithmetic number, because the mean of its divisors is an integer number (1049868409590).

Almost surely, 249119878362240 is an apocalyptic number.

49119878362240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49119878362240 is an abundant number, since it is smaller than the sum of its proper divisors (85263278065280).

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

49119878362240 is a wasteful number, since it uses less digits than its factorization.

49119878362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14757510 (or 14757498 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

The spelling of 49119878362240 in words is "forty-nine trillion, one hundred nineteen billion, eight hundred seventy-eight million, three hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 743 896 1120 1486 2240 2972 3715 4480 5201 5944 7430 10402 11888 14860 20804 23776 26005 29720 41608 47552 52010 59440 83216 95104 104020 118880 166432 208040 237760 332864 416080 475520 665728 832160 1664320 3328640 14756741 29513482 59026964 73783705 103297187 118053928 147567410 206594374 236107856 295134820 413188748 472215712 516485935 590269640 826377496 944431424 1032971870 1180539280 1652754992 1888862848 2065943740 2361078560 3305509984 4131887480 4722157120 6611019968 8263774960 9444314240 10964258563 13222039936 16527549920 21928517126 33055099840 43857034252 54821292815 66110199680 76749809941 87714068504 109642585630 153499619882 175428137008 219285171260 306999239764 350856274016 383749049705 438570342520 613998479528 701712548032 767498099410 877140685040 1227996959056 1403425096064 1534996198820 1754281370080 2455993918112 3069992397640 3508562740160 4911987836224 6139984795280 7017125480320 9823975672448 12279969590560 24559939181120 49119878362240