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2264854623328 = 2511192571317683
BaseRepresentation
bin100000111101010011110…
…110101111010001100000
322000111222121112202110201
4200331103312233101200
5244101410240421303
64452243154434544
7322426131441403
oct40752366572140
98014877482421
102264854623328
117a3579432440
12306b3b292a54
13135761ccb8bb
147b896081d3a
153dda9e9181d
hex20f53daf460

2264854623328 has 96 divisors (see below), whose sum is σ = 5140232576640. Its totient is φ = 971500584960.

The previous prime is 2264854623313. The next prime is 2264854623349. The reversal of 2264854623328 is 8233264584622.

It is a happy number.

2264854623328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1059975 + ... + 2377657.

It is an arithmetic number, because the mean of its divisors is an integer number (53544089340).

Almost surely, 22264854623328 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 2264854623328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570116288320).

2264854623328 is an abundant number, since it is smaller than the sum of its proper divisors (2875377953312).

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

2264854623328 is a wasteful number, since it uses less digits than its factorization.

2264854623328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317980 (or 1317972 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 55.

The spelling of 2264854623328 in words is "two trillion, two hundred sixty-four billion, eight hundred fifty-four million, six hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 257 304 352 418 514 608 836 1028 1672 2056 2827 3344 4112 4883 5654 6688 8224 9766 11308 19532 22616 39064 45232 53713 78128 90464 107426 156256 214852 429704 859408 1317683 1718816 2635366 5270732 10541464 14494513 21082928 25035977 28989026 42165856 50071954 57978052 100143908 115956104 200287816 231912208 275395747 338644531 400575632 463824416 550791494 677289062 801151264 1101582988 1354578124 2203165976 2709156248 3725089841 4406331952 5418312496 6434246089 7450179682 8812663904 10836624992 12868492178 14900359364 25736984356 29800718728 51473968712 59601437456 70776706979 102947937424 119202874912 141553413958 205895874848 283106827916 566213655832 1132427311664 2264854623328