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1345114066352 = 247113233456149
BaseRepresentation
bin10011100100101111000…
…010111100110110110000
311202120222022102110220112
4103210233002330312300
5134014243200110402
62505534210400452
7166116115625540
oct23445702746660
94676868373815
101345114066352
11479506906a51
12198837b90128
1399ac7835764
144916502b320
1524ec9895e52
hex1392f0bcdb0

1345114066352 has 80 divisors (see below), whose sum is σ = 3017727835200. Its totient is φ = 568922382336.

The previous prime is 1345114066349. The next prime is 1345114066391. The reversal of 1345114066352 is 2536604115431.

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, 2720774 + ... + 3176922.

It is an arithmetic number, because the mean of its divisors is an integer number (37721597940).

Almost surely, 21345114066352 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 1345114066352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508863917600).

1345114066352 is an abundant number, since it is smaller than the sum of its proper divisors (1672613768848).

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

1345114066352 is a wasteful number, since it uses less digits than its factorization.

1345114066352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456510 (or 456504 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 1345114066352 in words is "one trillion, three hundred forty-five billion, one hundred fourteen million, sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 113 226 233 452 466 791 904 932 1582 1631 1808 1864 3164 3262 3728 6328 6524 12656 13048 26096 26329 52658 105316 184303 210632 368606 421264 456149 737212 912298 1474424 1824596 2948848 3193043 3649192 6386086 7298384 12772172 25544344 51088688 51544837 103089674 106282717 206179348 212565434 360813859 412358696 425130868 721627718 743979019 824717392 850261736 1443255436 1487958038 1700523472 2886510872 2975916076 5773021744 5951832152 11903664304 12009947021 24019894042 48039788084 84069629147 96079576168 168139258294 192159152336 336278516588 672557033176 1345114066352