Search a number
-
+
118204628480 = 295177934381
BaseRepresentation
bin110111000010110001…
…0110111111000000000
3102022002212212021202222
41232011202313320000
53414040341102410
6130145155230212
711353135523051
oct1560542677000
9368085767688
10118204628480
1146148481a04
121aaaa5a8368
13b1ba257c63
145a14b16728
15311c563955
hex1b858b7e00

118204628480 has 160 divisors (see below), whose sum is σ = 303892871040. Its totient is φ = 43935989760.

The previous prime is 118204628473. The next prime is 118204628491. The reversal of 118204628480 is 84826402811.

It is a Cunningham number, because it is equal to 3438092-1.

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

It is a super-2 number, since 2×1182046284802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3420890 + ... + 3455270.

It is an arithmetic number, because the mean of its divisors is an integer number (1899330444).

Almost surely, 2118204628480 is an apocalyptic number.

118204628480 is a gapful number since it is divisible by the number (10) 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 118204628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151946435520).

118204628480 is an abundant number, since it is smaller than the sum of its proper divisors (185688242560).

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

118204628480 is an equidigital number, since it uses as much as digits as its factorization.

118204628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34500 (or 34484 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The spelling of 118204628480 in words is "one hundred eighteen billion, two hundred four million, six hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 79 80 85 128 136 158 160 170 256 272 316 320 340 395 512 544 632 640 680 790 1088 1264 1280 1343 1360 1580 2176 2528 2560 2686 2720 3160 4352 5056 5372 5440 6320 6715 8704 10112 10744 10880 12640 13430 20224 21488 21760 25280 26860 34381 40448 42976 43520 50560 53720 68762 85952 101120 107440 137524 171904 171905 202240 214880 275048 343808 343810 429760 550096 584477 687616 687620 859520 1100192 1168954 1375240 1719040 2200384 2337908 2716099 2750480 2922385 3438080 4400768 4675816 5432198 5500960 5844770 8801536 9351632 10864396 11001920 11689540 13580495 17603072 18703264 21728792 22003840 23379080 27160990 37406528 43457584 44007680 46173683 46758160 54321980 74813056 86915168 88015360 92347366 93516320 108643960 149626112 173830336 184694732 187032640 217287920 230868415 299252224 347660672 369389464 374065280 434575840 461736830 695321344 738778928 748130560 869151680 923473660 1390642688 1477557856 1496261120 1738303360 1846947320 2955115712 3476606720 3693894640 5910231424 6953213440 7387789280 11820462848 14775578560 23640925696 29551157120 59102314240 118204628480