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13034534800 = 2452710146091
BaseRepresentation
bin11000010001110101…
…10011011110010000
31020122101202222022011
430020322303132100
5203143320103200
65553223152304
7641002501120
oct141072633620
936571688264
1013034534800
115589722a11
1226392a5694
1312c95a3ab1
148b9198c80
155144c45ba
hex308eb3790

13034534800 has 120 divisors (see below), whose sum is σ = 36144240192. Its totient is φ = 4424640000.

The previous prime is 13034534771. The next prime is 13034534893. The reversal of 13034534800 is 843543031.

It is a super-2 number, since 2×130345348002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259755 + ... + 305845.

Almost surely, 213034534800 is an apocalyptic number.

13034534800 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 13034534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18072120096).

13034534800 is an abundant number, since it is smaller than the sum of its proper divisors (23109705392).

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

13034534800 is a wasteful number, since it uses less digits than its factorization.

13034534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46217 (or 46206 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 13034534800 in words is "thirteen billion, thirty-four million, five hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 101 112 140 175 200 202 280 350 400 404 505 560 700 707 808 1010 1400 1414 1616 2020 2525 2800 2828 3535 4040 5050 5656 7070 8080 10100 11312 14140 17675 20200 28280 35350 40400 46091 56560 70700 92182 141400 184364 230455 282800 322637 368728 460910 645274 737456 921820 1152275 1290548 1613185 1843640 2304550 2581096 3226370 3687280 4609100 4655191 5162192 6452740 8065925 9218200 9310382 12905480 16131850 18436400 18620764 23275955 25810960 32263700 32586337 37241528 46551910 64527400 65172674 74483056 93103820 116379775 129054800 130345348 162931685 186207640 232759550 260690696 325863370 372415280 465519100 521381392 651726740 814658425 931038200 1303453480 1629316850 1862076400 2606906960 3258633700 6517267400 13034534800