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16414745220 = 22325122974201
BaseRepresentation
bin11110100100110010…
…10010001010000100
31120100222020110021200
433102121102022010
5232104133321340
611312452542500
71120526014026
oct172231221204
946328213250
1016414745220
116a63772045
123221321a30
13171798b1c3
14b1a094016
1566111d330
hex3d2652284

16414745220 has 72 divisors (see below), whose sum is σ = 49832579160. Its totient is φ = 4373644800.

The previous prime is 16414745189. The next prime is 16414745251. The reversal of 16414745220 is 2254741461.

16414745220 is a `hidden beast` number, since 1 + 64 + 1 + 4 + 74 + 522 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16414745189) and next prime (16414745251).

It can be written as a sum of positive squares in 4 ways, for example, as 3038434884 + 13376310336 = 55122^2 + 115656^2 .

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

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, 184120 + ... + 258320.

It is an arithmetic number, because the mean of its divisors is an integer number (692119155).

Almost surely, 216414745220 is an apocalyptic number.

16414745220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16414745220 is an abundant number, since it is smaller than the sum of its proper divisors (33417833940).

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

16414745220 is a wasteful number, since it uses less digits than its factorization.

16414745220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75445 (or 75440 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 16414745220 in words is "sixteen billion, four hundred fourteen million, seven hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1229 2458 3687 4916 6145 7374 11061 12290 14748 18435 22122 24580 36870 44244 55305 73740 74201 110610 148402 221220 222603 296804 371005 445206 667809 742010 890412 1113015 1335618 1484020 2226030 2671236 3339045 4452060 6678090 13356180 91193029 182386058 273579087 364772116 455965145 547158174 820737261 911930290 1094316348 1367895435 1641474522 1823860580 2735790870 3282949044 4103686305 5471581740 8207372610 16414745220