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2246406523245 = 3252910126336473
BaseRepresentation
bin100000101100001000010…
…000110100100101101101
321221202100221012011200200
4200230020100310211231
5243301120032220440
64435552423544113
7321204022252143
oct40541020644555
97852327164620
102246406523245
11796771a11835
12303450bbb039
13133ab1cb8351
147aa25d2d593
153d67a5c2c30
hex20b0843496d

2246406523245 has 96 divisors (see below), whose sum is σ = 4070094518880. Its totient is φ = 1144705228800.

The previous prime is 2246406523223. The next prime is 2246406523367. The reversal of 2246406523245 is 5423256046422.

2246406523245 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 406 + 5 + 232 + 4 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 543201428484 + 1703205094761 = 737022^2 + 1305069^2 .

It is not a de Polignac number, because 2246406523245 - 215 = 2246406490477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2246406523245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347039329 + ... + 347045801.

It is an arithmetic number, because the mean of its divisors is an integer number (42396817905).

Almost surely, 22246406523245 is an apocalyptic number.

It is an amenable number.

2246406523245 is a deficient number, since it is larger than the sum of its proper divisors (1823687995635).

2246406523245 is a wasteful number, since it uses less digits than its factorization.

2246406523245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 2246406523245 in words is "two trillion, two hundred forty-six billion, four hundred six million, five hundred twenty-three thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 101 145 261 303 435 505 909 1305 1515 2633 2929 4545 6473 7899 8787 13165 14645 19419 23697 26361 32365 39495 43935 58257 76357 97095 118485 131805 187717 229071 265933 291285 381785 563151 653773 687213 797799 938585 1145355 1329665 1689453 1961319 2393397 2815755 3268865 3436065 3988995 5883957 7712057 8447265 9806595 11966985 17043409 18959417 23136171 29419785 38560285 51130227 56878251 69408513 85217045 94797085 115680855 153390681 170634753 255651135 284391255 347042565 494258861 766953405 853173765 1482776583 1721384309 2471294305 4448329749 5164152927 7413882915 8606921545 15492458781 22241648745 25820764635 49920144961 77462293905 149760434883 249600724805 449281304649 748802174415 2246406523245