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185132314740 = 223547459714281
BaseRepresentation
bin1010110001101010111…
…1101111000001110100
3122200212012010000111210
42230122233233001310
511013122333032430
6221014300001420
716242515465562
oct2543257570164
9580765100453
10185132314740
117157240220a
122ba68530270
13145c501c389
148d636a0a32
154c380992b0
hex2b1abef074

185132314740 has 96 divisors (see below), whose sum is σ = 529551880704. Its totient is φ = 48304327680.

The previous prime is 185132314729. The next prime is 185132314747. The reversal of 185132314740 is 47413231581.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185132314747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12956400 + ... + 12970680.

It is an arithmetic number, because the mean of its divisors is an integer number (5516165424).

Almost surely, 2185132314740 is an apocalyptic number.

185132314740 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 185132314740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264775940352).

185132314740 is an abundant number, since it is smaller than the sum of its proper divisors (344419565964).

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

185132314740 is a wasteful number, since it uses less digits than its factorization.

185132314740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18937 (or 18935 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 185132314740 in words is "one hundred eighty-five billion, one hundred thirty-two million, three hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 4597 9194 13791 14281 18388 22985 27582 28562 42843 45970 55164 57124 68955 71405 85686 91940 137910 142810 171372 214215 216059 275820 285620 428430 432118 648177 671207 856860 864236 1080295 1296354 1342414 2013621 2160590 2592708 2684828 3240885 3356035 4027242 4321180 6481770 6712070 8054484 10068105 12963540 13424140 20136210 40272420 65649757 131299514 196949271 262599028 328248785 393898542 656497570 787797084 984746355 1312995140 1969492710 3085538579 3938985420 6171077158 9256615737 12342154316 15427692895 18513231474 30855385790 37026462948 46283078685 61710771580 92566157370 185132314740