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201348445860 = 223252338635563
BaseRepresentation
bin1011101110000101001…
…1010111011010100100
3201020201022121211110200
42323201103113122210
511244330200231420
6232255335550500
720355413360022
oct2734123273244
9636638554420
10201348445860
1178433a48571
123303322b430
1315caa7ba033
149a61213712
155386a33b90
hex2ee14d76a4

201348445860 has 144 divisors (see below), whose sum is σ = 614199366144. Its totient is φ = 53390928384.

The previous prime is 201348445849. The next prime is 201348445861. The reversal of 201348445860 is 68544843102.

201348445860 is a `hidden beast` number, since 2 + 0 + 134 + 8 + 4 + 458 + 60 = 666.

201348445860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2013484458602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (201348445861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36191439 + ... + 36197001.

It is an arithmetic number, because the mean of its divisors is an integer number (4265273376).

Almost surely, 2201348445860 is an apocalyptic number.

201348445860 is a gapful number since it is divisible by the number (20) 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 201348445860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307099683072).

201348445860 is an abundant number, since it is smaller than the sum of its proper divisors (412850920284).

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

201348445860 is a wasteful number, since it uses less digits than its factorization.

201348445860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 201348445860 in words is "two hundred one billion, three hundred forty-eight million, four hundred forty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 863 932 1165 1398 1726 2097 2330 2589 2796 3452 3495 4194 4315 4660 5178 5563 6990 7767 8388 8630 10356 10485 11126 12945 13980 15534 16689 17260 20970 22252 25890 27815 31068 33378 38835 41940 50067 51780 55630 66756 77670 83445 100134 111260 155340 166890 200268 201079 250335 333780 402158 500670 603237 804316 1001340 1005395 1206474 1296179 1809711 2010790 2412948 2592358 3016185 3619422 3888537 4021580 4800869 5184716 6032370 6480895 7238844 7777074 9048555 9601738 11665611 12064740 12961790 14402607 15554148 18097110 19203476 19442685 23331222 24004345 25923580 28805214 36194220 38885370 43207821 46662444 48008690 57610428 58328055 72013035 77770740 86415642 96017380 116656110 144026070 172831284 216039105 233312220 288052140 432078210 864156420 1118602477 2237204954 3355807431 4474409908 5593012385 6711614862 10067422293 11186024770 13423229724 16779037155 20134844586 22372049540 33558074310 40269689172 50337111465 67116148620 100674222930 201348445860