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1345513757192 = 231141736917393
BaseRepresentation
bin10011100101000110110…
…111101001101000001000
311202122000011111212122222
4103211012313221220020
5134021103010212232
62510042005233212
7166132041142133
oct23450667515010
94678004455588
101345513757192
114796a1490660
12198929a02808
1399b5c599407
14491a215121a
1524eee9e7d12
hex13946de9a08

1345513757192 has 128 divisors (see below), whose sum is σ = 2862457557120. Its totient is φ = 587575296000.

The previous prime is 1345513757191. The next prime is 1345513757293. The reversal of 1345513757192 is 2917573155431.

It is not an unprimeable number, because it can be changed into a prime (1345513757191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181994648 + ... + 182002040.

It is an arithmetic number, because the mean of its divisors is an integer number (22362949665).

Almost surely, 21345513757192 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 1345513757192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431228778560).

1345513757192 is an abundant number, since it is smaller than the sum of its proper divisors (1516943799928).

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

1345513757192 is a wasteful number, since it uses less digits than its factorization.

1345513757192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8215 (or 8211 counting only the distinct ones).

The product of its digits is 3969000, while the sum is 53.

The spelling of 1345513757192 in words is "one trillion, three hundred forty-five billion, five hundred thirteen million, seven hundred fifty-seven thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 22 41 44 73 82 88 146 164 292 328 451 584 691 803 902 1382 1606 1804 2764 2993 3212 3608 5528 5986 6424 7393 7601 11972 14786 15202 23944 28331 29572 30404 32923 50443 56662 59144 60808 65846 81323 100886 113324 131692 162646 201772 226648 263384 303113 311641 325292 403544 539689 554873 606226 623282 650584 1079378 1109746 1212452 1246564 2068163 2158756 2219492 2424904 2493128 3334243 4136326 4317512 4438984 5108563 5936579 6668486 8272652 10217126 11873158 13336972 16545304 20434252 22127249 22749793 23746316 26673944 40868504 44254498 45499586 47492632 56194193 88508996 90999172 112388386 177017992 181998344 209451083 224776772 243399739 372925099 418902166 449553544 486799478 745850198 837804332 973598956 1491700396 1675608664 1947197912 2303961913 2983400792 4102176089 4607923826 8204352178 9215847652 15289929059 16408704356 18431695304 30579858118 32817408712 61159716236 122319432472 168189219649 336378439298 672756878596 1345513757192