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109209158000 = 2453412694951
BaseRepresentation
bin110010110110101011…
…1111000000101110000
3101102212222022001002122
41211231113320011300
53242130021024000
6122100415133412
710614206345435
oct1455527700560
9342788261078
10109209158000
11423517a4888
12191b9b14268
13a3b5702567
14540015db8c
152c9297e085
hex196d5f8170

109209158000 has 160 divisors (see below), whose sum is σ = 271568868480. Its totient is φ = 42451200000.

The previous prime is 109209157987. The next prime is 109209158017. The reversal of 109209158000 is 851902901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22055525 + ... + 22060475.

It is an arithmetic number, because the mean of its divisors is an integer number (1697305428).

Almost surely, 2109209158000 is an apocalyptic number.

109209158000 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 109209158000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135784434240).

109209158000 is an abundant number, since it is smaller than the sum of its proper divisors (162359710480).

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

109209158000 is a wasteful number, since it uses less digits than its factorization.

109209158000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284 (or 5268 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 109209158000 in words is "one hundred nine billion, two hundred nine million, one hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 269 328 400 410 500 538 656 820 1000 1025 1076 1345 1640 2000 2050 2152 2690 3280 4100 4304 4951 5125 5380 6725 8200 9902 10250 10760 11029 13450 16400 19804 20500 21520 22058 24755 26900 33625 39608 41000 44116 49510 53800 55145 67250 79216 82000 88232 99020 107600 110290 123775 134500 176464 198040 202991 220580 247550 269000 275725 396080 405982 441160 495100 538000 551450 618875 811964 882320 990200 1014955 1102900 1237750 1331819 1378625 1623928 1980400 2029910 2205800 2475500 2663638 2757250 3247856 4059820 4411600 4951000 5074775 5327276 5514500 6659095 8119640 9902000 10149550 10654552 11029000 13318190 16239280 20299100 21309104 22058000 25373875 26636380 33295475 40598200 50747750 53272760 54604579 66590950 81196400 101495500 106545520 109209158 133181900 166477375 202991000 218418316 266363800 273022895 332954750 405982000 436836632 532727600 546045790 665909500 873673264 1092091580 1331819000 1365114475 2184183160 2663638000 2730228950 4368366320 5460457900 6825572375 10920915800 13651144750 21841831600 27302289500 54604579000 109209158000