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1126680348304 = 247216722272
BaseRepresentation
bin10000011001010011011…
…000011100011010010000
310222201011021211220002001
4100121103120130122100
5121424420132121204
62221331222003344
7144254121642400
oct20312330343220
93881137756061
101126680348304
113a4905758625
12162436b76554
138232649a314
143c762a9c800
151e492e444a4
hex1065361c690

1126680348304 has 135 divisors (see below), whose sum is σ = 2565942245283. Its totient is φ = 477857198784.

The previous prime is 1126680348289. The next prime is 1126680348349. The reversal of 1126680348304 is 4038430866211.

The square root of 1126680348304 is 1061452.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4963349439 + ... + 4963349665.

Almost surely, 21126680348304 is an apocalyptic number.

1126680348304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1126680348304 is the 1061452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126680348304

1126680348304 is an abundant number, since it is smaller than the sum of its proper divisors (1439261896979).

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

1126680348304 is an frugal number, since it uses more digits than its factorization.

1126680348304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 1126680348304 in words is "one trillion, one hundred twenty-six billion, six hundred eighty million, three hundred forty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 167 196 227 334 392 454 668 784 908 1169 1336 1589 1816 2338 2672 3178 3632 4676 6356 8183 9352 11123 12712 16366 18704 22246 25424 27889 32732 37909 44492 51529 55778 65464 75818 88984 103058 111556 130928 151636 177968 195223 206116 223112 265363 303272 360703 390446 412232 446224 530726 606544 721406 780892 824464 1061452 1366561 1442812 1561784 1857541 2122904 2524921 2733122 2885624 3123568 3715082 4245808 5049842 5466244 5771248 6330803 7430164 8605343 10099684 10932488 12661606 14860328 17210686 20199368 21864976 25323212 29720656 34421372 40398736 44315621 50646424 60237401 68842744 88631242 101292848 120474802 137685488 177262484 240949604 310209347 354524968 421661807 481899208 620418694 709049936 843323614 963798416 1240837388 1437092281 1686647228 2481674776 2874184562 3373294456 4963349552 5748369124 6746588912 10059645967 11496738248 20119291934 22993476496 40238583868 70417521769 80477167736 140835043538 160954335472 281670087076 563340174152 1126680348304