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107259349620 = 223531349165233
BaseRepresentation
bin110001111100100100…
…1111100101001110100
3101020212002101111211110
41203321021330221310
53224131343141440
6121135124035020
710514662300053
oct1437111745164
9336762344743
10107259349620
11415411199a5
1218954b32a70
13a16477c8a7
14529720c39a
152bcb6d3080
hex18f927ca74

107259349620 has 96 divisors (see below), whose sum is σ = 310904294400. Its totient is φ = 27600353280.

The previous prime is 107259349579. The next prime is 107259349621. The reversal of 107259349620 is 26943952701.

It is a self number, because there is not a number n which added to its sum of digits gives 107259349620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107259349621) 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, 566524 + ... + 731756.

It is an arithmetic number, because the mean of its divisors is an integer number (3238586400).

Almost surely, 2107259349620 is an apocalyptic number.

107259349620 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 107259349620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155452147200).

107259349620 is an abundant number, since it is smaller than the sum of its proper divisors (203644944780).

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

107259349620 is a wasteful number, since it uses less digits than its factorization.

107259349620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165625 (or 165623 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 107259349620 in words is "one hundred seven billion, two hundred fifty-nine million, three hundred forty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 349 372 465 620 698 930 1047 1396 1745 1860 2094 3490 4188 5235 6980 10470 10819 20940 21638 32457 43276 54095 64914 108190 129828 162285 165233 216380 324570 330466 495699 649140 660932 826165 991398 1652330 1982796 2478495 3304660 4956990 5122223 9913980 10244446 15366669 20488892 25611115 30733338 51222230 57666317 61466676 76833345 102444460 115332634 153666690 172998951 230665268 288331585 307333380 345997902 576663170 691995804 864994755 1153326340 1729989510 1787655827 3459979020 3575311654 5362967481 7150623308 8938279135 10725934962 17876558270 21451869924 26814837405 35753116540 53629674810 107259349620