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13029734000 = 245331210157
BaseRepresentation
bin11000010001010000…
…11111011001110000
31020122001202001211202
430020220133121300
5203141102442000
65552532230332
7640613624453
oct141050373160
936561661752
1013029734000
115586a44008
12263776b3a8
1312c85b289a
148b86a949a
15513d76dd5
hex308a1f670

13029734000 has 80 divisors (see below), whose sum is σ = 32522370816. Its totient is φ = 5043744000.

The previous prime is 13029733993. The next prime is 13029734009. The reversal of 13029734000 is 43792031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×130297340002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13029734009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43079 + ... + 167078.

Almost surely, 213029734000 is an apocalyptic number.

13029734000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13029734000 is an abundant number, since it is smaller than the sum of its proper divisors (19492636816).

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

13029734000 is a wasteful number, since it uses less digits than its factorization.

13029734000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210211 (or 210195 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The spelling of 13029734000 in words is "thirteen billion, twenty-nine million, seven hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 775 1000 1240 1550 2000 2480 3100 3875 6200 7750 12400 15500 31000 62000 210157 420314 840628 1050785 1681256 2101570 3362512 4203140 5253925 6514867 8406280 10507850 13029734 16812560 21015700 26059468 26269625 32574335 42031400 52118936 52539250 65148670 84062800 104237872 105078500 130297340 162871675 210157000 260594680 325743350 420314000 521189360 651486700 814358375 1302973400 1628716750 2605946800 3257433500 6514867000 13029734000