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2164233463616 = 26755760114431
BaseRepresentation
bin11111011111100110010…
…111011110011101000000
321122220021011002020021202
4133133212113132131000
5240424322231313431
64334122442040332
7312234502624550
oct37374627363500
97586234066252
102164233463616
11764934406904
122ab5394a90a8
131291178c5343
1476a6c72b160
153b46b4598cb
hex1f7e65de740

2164233463616 has 112 divisors (see below), whose sum is σ = 4925506747392. Its totient is φ = 924258816000.

The previous prime is 2164233463573. The next prime is 2164233463663. The reversal of 2164233463616 is 6163643324612.

It is a tau number, because it is divible by the number of its divisors (112).

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, 149963921 + ... + 149978351.

It is an arithmetic number, because the mean of its divisors is an integer number (43977738816).

Almost surely, 22164233463616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164233463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462753373696).

2164233463616 is an abundant number, since it is smaller than the sum of its proper divisors (2761273283776).

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

2164233463616 is a wasteful number, since it uses less digits than its factorization.

2164233463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15608 (or 15598 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 47.

The spelling of 2164233463616 in words is "two trillion, one hundred sixty-four billion, two hundred thirty-three million, four hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 557 601 1114 1202 2228 2404 3899 4207 4456 4808 7798 8414 8912 9616 14431 15596 16828 17824 19232 28862 31192 33656 35648 38464 57724 62384 67312 101017 115448 124768 134624 202034 230896 249536 269248 334757 404068 461792 669514 808136 923584 1339028 1616272 2343299 2678056 3232544 4686598 5356112 6465088 8038067 8673031 9373196 10712224 16076134 17346062 18746392 21424448 32152268 34692124 37492784 56266469 60711217 64304536 69384248 74985568 112532938 121422434 128609072 138768496 149971136 225065876 242844868 257218144 277536992 450131752 485689736 514436288 555073984 900263504 971379472 1800527008 1942758944 3601054016 3885517888 4830878267 9661756534 19323513068 33816147869 38647026136 67632295738 77294052272 135264591476 154588104544 270529182952 309176209088 541058365904 1082116731808 2164233463616