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2245912346016 = 253215235120359
BaseRepresentation
bin100000101011101010110…
…011101011110110100000
321221201002111022100222100
4200223222303223312200
5243244112030033031
64435431412010400
7321155541646203
oct40535263536640
97851074270870
102245912346016
11796538a720a9
12303333600a00
13133a337c16a1
147a9ba45193a
153d64c009de6
hex20aeacebda0

2245912346016 has 72 divisors (see below), whose sum is σ = 6391008056160. Its totient is φ = 748145748096.

The previous prime is 2245912346011. The next prime is 2245912346057. The reversal of 2245912346016 is 6106432195422.

2245912346016 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 9 + 1 + 2 + 34 + 601 + 6 = 666.

2245912346016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22459123460162 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2245912346011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2121556 + ... + 2998803.

It is an arithmetic number, because the mean of its divisors is an integer number (88764000780).

Almost surely, 22245912346016 is an apocalyptic number.

It is an amenable number.

2245912346016 is an abundant number, since it is smaller than the sum of its proper divisors (4145095710144).

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

2245912346016 is a wasteful number, since it uses less digits than its factorization.

2245912346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121898 (or 5121887 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2245912346016 in words is "two trillion, two hundred forty-five billion, nine hundred twelve million, three hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1523 3046 4569 6092 9138 12184 13707 18276 24368 27414 36552 48736 54828 73104 109656 146208 219312 438624 5120359 10240718 15361077 20481436 30722154 40962872 46083231 61444308 81925744 92166462 122888616 163851488 184332924 245777232 368665848 491554464 737331696 1474663392 7798306757 15596613514 23394920271 31193227028 46789840542 62386454056 70184760813 93579681084 124772908112 140369521626 187159362168 249545816224 280739043252 374318724336 561478086504 748637448672 1122956173008 2245912346016