Search a number
-
+
16041862260 = 22325196770009
BaseRepresentation
bin11101111000010101…
…10110010001110100
31112101222121001000200
432330022312101310
5230323204043020
611211452440500
71105350402504
oct167412662164
945358531020
1016041862260
116892238606
123138479130
1316886525b8
14ac274ba04
1563d514590
hex3bc2b6474

16041862260 has 144 divisors (see below), whose sum is σ = 51986625600. Its totient is φ = 3992136192.

The previous prime is 16041862189. The next prime is 16041862271. The reversal of 16041862260 is 6226814061.

16041862260 is a `hidden beast` number, since 16 + 0 + 4 + 18 + 622 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 194136 + ... + 264144.

Almost surely, 216041862260 is an apocalyptic number.

16041862260 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 16041862260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25993312800).

16041862260 is an abundant number, since it is smaller than the sum of its proper divisors (35944763340).

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

16041862260 is a wasteful number, since it uses less digits than its factorization.

16041862260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70110 (or 70105 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16041862260 in words is "sixteen billion, forty-one million, eight hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 67 76 90 95 114 134 171 180 190 201 228 268 285 335 342 380 402 570 603 670 684 804 855 1005 1140 1206 1273 1340 1710 2010 2412 2546 3015 3420 3819 4020 5092 6030 6365 7638 11457 12060 12730 15276 19095 22914 25460 38190 45828 57285 70009 76380 114570 140018 210027 229140 280036 350045 420054 630081 700090 840108 1050135 1260162 1330171 1400180 2100270 2520324 2660342 3150405 3990513 4200540 4690603 5320684 6300810 6650855 7981026 9381206 11971539 12601620 13301710 14071809 15962052 18762412 19952565 23453015 23943078 26603420 28143618 39905130 42215427 46906030 47886156 56287236 59857695 70359045 79810260 84430854 89121457 93812060 119715390 140718090 168861708 178242914 211077135 239430780 267364371 281436180 356485828 422154270 445607285 534728742 802093113 844308540 891214570 1069457484 1336821855 1604186226 1782429140 2673643710 3208372452 4010465565 5347287420 8020931130 16041862260