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109104269616 = 24327971913339
BaseRepresentation
bin110010110011100011…
…1110000100100110000
3101102121122221011021200
41211213013300210300
53241421143111431
6122042151051200
710611463663416
oct1454707604460
9342548834250
10109104269616
11422a8574671
121918a970b00
13a399a69a24
1453d02592b6
152c88660ee6
hex19671f0930

109104269616 has 120 divisors (see below), whose sum is σ = 309658752000. Its totient is φ = 35855104896.

The previous prime is 109104269579. The next prime is 109104269641. The reversal of 109104269616 is 616962401901.

It is a happy number.

109104269616 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 0 + 4 + 26 + 9 + 616 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8172675 + ... + 8186013.

It is an arithmetic number, because the mean of its divisors is an integer number (2580489600).

Almost surely, 2109104269616 is an apocalyptic number.

109104269616 is a gapful number since it is divisible by the number (16) 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 109104269616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154829376000).

109104269616 is an abundant number, since it is smaller than the sum of its proper divisors (200554482384).

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

109104269616 is a wasteful number, since it uses less digits than its factorization.

109104269616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14151 (or 14142 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 109104269616 in words is "one hundred nine billion, one hundred four million, two hundred sixty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 719 948 1264 1422 1438 1896 2157 2844 2876 3792 4314 5688 5752 6471 8628 11376 11504 12942 13339 17256 25884 26678 34512 40017 51768 53356 56801 80034 103536 106712 113602 120051 160068 170403 213424 227204 240102 320136 340806 454408 480204 511209 640272 681612 908816 960408 1022418 1053781 1363224 1920816 2044836 2107562 2726448 3161343 4089672 4215124 6322686 8179344 8430248 9484029 9590741 12645372 16860496 18968058 19181482 25290744 28772223 37936116 38362964 50581488 57544446 75872232 76725928 86316669 115088892 151744464 153451856 172633338 230177784 345266676 460355568 690533352 757668539 1381066704 1515337078 2273005617 3030674156 4546011234 6061348312 6819016851 9092022468 12122696624 13638033702 18184044936 27276067404 36368089872 54552134808 109104269616