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1034729073320 = 235713389107507
BaseRepresentation
bin11110000111010101010…
…10001010101010101000
310122220211001022010212212
433003222222022222220
5113423111120321240
62111203055024252
7134520360001445
oct17035252125250
93586731263785
101034729073320
1136990a64a788
1214865480b088
1376761330977
143811c98a9cc
151bdb062c165
hexf0eaa8aaa8

1034729073320 has 64 divisors (see below), whose sum is σ = 2361649737600. Its totient is φ = 407937967360.

The previous prime is 1034729073319. The next prime is 1034729073331. The reversal of 1034729073320 is 233709274301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9571007 + ... + 9678513.

It is an arithmetic number, because the mean of its divisors is an integer number (36900777150).

Almost surely, 21034729073320 is an apocalyptic number.

1034729073320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034729073320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180824868800).

1034729073320 is an abundant number, since it is smaller than the sum of its proper divisors (1326920664280).

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

1034729073320 is a wasteful number, since it uses less digits than its factorization.

1034729073320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110978 (or 110974 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 41.

The spelling of 1034729073320 in words is "one trillion, thirty-four billion, seven hundred twenty-nine million, seventy-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 3389 6778 13556 16945 27112 33890 67780 107507 135560 215014 240619 430028 481238 537535 860056 962476 1075070 1203095 1924952 2150140 2406190 4300280 4812380 7632997 9624760 15265994 30531988 38164985 61063976 76329970 152659940 305319880 364341223 728682446 1457364892 1821706115 2914729784 3643412230 7286824460 14573648920 25868226833 51736453666 103472907332 129341134165 206945814664 258682268330 517364536660 1034729073320