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34461475220512 = 253729399337801
BaseRepresentation
bin1111101010111101011111…
…11111010010110000100000
311112000111002110102121021001
413311132233333102300200
514004104100124024022
6201143214432441344
710154521324142434
oct765365777226040
9145014073377231
1034461475220512
11aa8703639808a
123a46a463a9254
13162c91ab2a732
14871d312349c4
153eb64e682b27
hex1f57affd2c20

34461475220512 has 48 divisors (see below), whose sum is σ = 69917521208472. Its totient is φ = 16707823257600.

The previous prime is 34461475220503. The next prime is 34461475220531. The reversal of 34461475220512 is 21502257416443.

It can be written as a sum of positive squares in 4 ways, for example, as 33580587855376 + 880887365136 = 5794876^2 + 938556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49321989 + ... + 50015812.

Almost surely, 234461475220512 is an apocalyptic number.

34461475220512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34461475220512 is an abundant number, since it is smaller than the sum of its proper divisors (35456045987960).

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

34461475220512 is a wasteful number, since it uses less digits than its factorization.

34461475220512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99338141 (or 99338133 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 34461475220512 in words is "thirty-four trillion, four hundred sixty-one billion, four hundred seventy-five million, two hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 37 74 148 293 296 586 592 1172 1184 2344 4688 9376 10841 21682 43364 86728 173456 346912 99337801 198675602 397351204 794702408 1589404816 3178809632 3675498637 7350997274 14701994548 29105975693 29403989096 58211951386 58807978192 116423902772 117615956384 232847805544 465695611088 931391222176 1076921100641 2153842201282 4307684402564 8615368805128 17230737610256 34461475220512