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109006583040 = 283259462377
BaseRepresentation
bin110010110000101001…
…1000111010100000000
3101102100212010011111100
41211201103013110000
53241221141124130
6122024341214400
710606166445045
oct1454123072400
9342325104440
10109006583040
1142258413263
1219162101400
13a382756214
1453c12ab1cc
152c7ecb6c60
hex19614c7500

109006583040 has 108 divisors (see below), whose sum is σ = 377151462324. Its totient is φ = 29068419072.

The previous prime is 109006583033. The next prime is 109006583053. The reversal of 109006583040 is 40385600901.

It can be written as a sum of positive squares in 2 ways, for example, as 25564172544 + 83442410496 = 159888^2 + 288864^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 109006582986 and 109006583004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4719669 + ... + 4742708.

Almost surely, 2109006583040 is an apocalyptic number.

109006583040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

109006583040 is an abundant number, since it is smaller than the sum of its proper divisors (268144879284).

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

109006583040 is an equidigital number, since it uses as much as digits as its factorization.

109006583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9462404 (or 9462387 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 109006583040 in words is "one hundred nine billion, six million, five hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 9462377 18924754 28387131 37849508 47311885 56774262 75699016 85161393 94623770 113548524 141935655 151398032 170322786 189247540 227097048 283871310 302796064 340645572 378495080 425806965 454194096 567742620 605592128 681291144 756990160 851613930 908388192 1135485240 1211184256 1362582288 1513980320 1703227860 1816776384 2270970480 2422368512 2725164576 3027960640 3406455720 3633552768 4541940960 5450329152 6055921280 6812911440 7267105536 9083881920 10900658304 12111842560 13625822880 18167763840 21801316608 27251645760 36335527680 54503291520 109006583040