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345452413052523 = 37899831429131581
BaseRepresentation
bin100111010001011111110100…
…0010111011110011001101011
31200022010221001121222000222010
41032202333220113132121223
5330234343020220140043
63222414351522531003
7132523053556021260
oct11642775027363153
91608127047860863
10345452413052523
11a0087600273587
12328b2baa206a63
1311a9b03b04a5ca
146143db3847267
1529e1023cde133
hex13a2fe85de66b

345452413052523 has 64 divisors (see below), whose sum is σ = 533236791859200. Its totient is φ = 194846897710080.

The previous prime is 345452413052497. The next prime is 345452413052561. The reversal of 345452413052523 is 325250314254543.

It is a happy number.

It is not a de Polignac number, because 345452413052523 - 225 = 345452379498091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345452413056523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2625331593 + ... + 2625463173.

It is an arithmetic number, because the mean of its divisors is an integer number (8331824872800).

Almost surely, 2345452413052523 is an apocalyptic number.

345452413052523 is a deficient number, since it is larger than the sum of its proper divisors (187784378806677).

345452413052523 is a wasteful number, since it uses less digits than its factorization.

345452413052523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134092.

The product of its (nonzero) digits is 8640000, while the sum is 48.

The spelling of 345452413052523 in words is "three hundred forty-five trillion, four hundred fifty-two billion, four hundred thirteen million, fifty-two thousand, five hundred twenty-three".

Divisors: 1 3 7 21 89 267 623 983 1429 1869 2949 4287 6881 10003 20643 30009 87487 127181 131581 262461 381543 394743 612409 890267 921067 1404707 1837227 2670801 2763201 4214121 9832949 11710709 29498847 35132127 81974963 125018923 129344123 188029249 245924889 375056769 388032369 564087747 875132461 905408861 1316204743 2625397383 2716226583 3948614229 11511626947 16734603161 34534880841 50203809483 80581388629 117142222127 184832751767 241744165887 351426666381 554498255301 1293829262369 3881487787107 16450114907263 49350344721789 115150804350841 345452413052523