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2180285194464 = 2532134313542817
BaseRepresentation
bin11111101110100011000…
…111111110000011100000
321201102200211020122110200
4133232203013332003200
5241210211002210324
64345335330225200
7313343333241636
oct37564307760340
97642624218420
102180285194464
11770721174873
122b2679125200
1312a7a52c1730
14777524c7356
153baaa76cec9
hex1fba31fe0e0

2180285194464 has 144 divisors (see below), whose sum is σ = 6832405852272. Its totient is φ = 655255609344.

The previous prime is 2180285194463. The next prime is 2180285194481. The reversal of 2180285194464 is 4644915820812.

2180285194464 is a `hidden beast` number, since 2 + 1 + 8 + 0 + 28 + 519 + 44 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 2180285194464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180285194463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6610417 + ... + 6932400.

It is an arithmetic number, because the mean of its divisors is an integer number (47447262863).

Almost surely, 22180285194464 is an apocalyptic number.

2180285194464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2180285194464 is an abundant number, since it is smaller than the sum of its proper divisors (4652120657808).

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

2180285194464 is a wasteful number, since it uses less digits than its factorization.

2180285194464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13542889 (or 13542878 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2180285194464 in words is "two trillion, one hundred eighty billion, two hundred eighty-five million, one hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992 13542817 27085634 40628451 54171268 81256902 108342536 121885353 162513804 176056621 216685072 243770706 325027608 352113242 433370144 487541412 528169863 582341131 650055216 704226484 975082824 1056339726 1164682262 1300110432 1408452968 1584509589 1747023393 1950165648 2112679452 2329364524 2816905936 3169019178 3494046786 3900331296 4225358904 4658729048 5241070179 5633811872 6338038356 6988093572 7570434703 8450717808 9317458096 10482140358 12676076712 13976187144 15140869406 16901435616 18634916192 20964280716 22711304109 25352153424 27952374288 30281738812 41928561432 45422608218 50704306848 55904748576 60563477624 68133912327 83857122864 90845216436 121126955248 136267824654 167714245728 181690432872 242253910496 272535649308 363380865744 545071298616 726761731488 1090142597232 2180285194464