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18034813300 = 22527197871723
BaseRepresentation
bin10000110010111101…
…010110100101110100
31201112212200102220011
4100302331112211310
5243413403011200
612141324350004
71205630245420
oct206275264564
951485612804
1018034813300
117715200189
1235b39a5304
1319154cc37a
14c312cdb80
157084835ba
hex432f56974

18034813300 has 144 divisors (see below), whose sum is σ = 47167536640. Its totient is φ = 5847085440.

The previous prime is 18034813289. The next prime is 18034813333. The reversal of 18034813300 is 331843081.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10466239 + ... + 10467961.

Almost surely, 218034813300 is an apocalyptic number.

18034813300 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 18034813300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23583768320).

18034813300 is an abundant number, since it is smaller than the sum of its proper divisors (29132723340).

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

18034813300 is a wasteful number, since it uses less digits than its factorization.

18034813300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 18034813300 in words is "eighteen billion, thirty-four million, eight hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 787 950 1330 1574 1723 1900 2660 3148 3325 3446 3935 5509 6650 6892 7870 8615 11018 12061 13300 14953 15740 17230 19675 22036 24122 27545 29906 32737 34460 39350 43075 48244 55090 59812 60305 65474 74765 78700 86150 104671 110180 120610 130948 137725 149530 163685 172300 209342 229159 241220 275450 299060 301525 327370 373825 418684 458318 523355 550900 603050 654740 747650 818425 916636 1046710 1145795 1206100 1356001 1495300 1636850 2093420 2291590 2616775 2712002 3273700 4583180 5233550 5424004 5728975 6780005 9492007 10467100 11457950 13560010 18984014 22915900 25764019 27120020 33900025 37968028 47460035 51528038 67800050 94920070 103056076 128820095 135600100 180348133 189840140 237300175 257640190 360696266 474600350 515280380 644100475 721392532 901740665 949200700 1288200950 1803481330 2576401900 3606962660 4508703325 9017406650 18034813300