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109104219504 = 24327304135593
BaseRepresentation
bin110010110011100011…
…1100100010101110000
3101102121122211121112200
41211213013210111300
53241421140011004
6122042150023200
710611463364340
oct1454707442560
9342548747480
10109104219504
11422a853aa55
121918a947b00
13a399a4cc87
1453d0244d20
152c88651239
hex19671e4570

109104219504 has 120 divisors (see below), whose sum is σ = 349084880352. Its totient is φ = 31161507840.

The previous prime is 109104219473. The next prime is 109104219551. The reversal of 109104219504 is 405912401901.

It is a happy number.

109104219504 is a `hidden beast` number, since 10 + 91 + 0 + 42 + 19 + 504 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3047532 + ... + 3083124.

Almost surely, 2109104219504 is an apocalyptic number.

109104219504 is a gapful number since it is divisible by the number (14) 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 109104219504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174542440176).

109104219504 is an abundant number, since it is smaller than the sum of its proper divisors (239980660848).

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

109104219504 is a wasteful number, since it uses less digits than its factorization.

109104219504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38655 (or 38646 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 109104219504 in words is "one hundred nine billion, one hundred four million, two hundred nineteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3041 6082 9123 12164 18246 21287 24328 27369 35593 36492 42574 48656 54738 63861 71186 72984 85148 106779 109476 127722 142372 145968 170296 191583 213558 218952 249151 255444 284744 320337 340592 383166 427116 437904 498302 510888 569488 640674 747453 766332 854232 996604 1021776 1281348 1494906 1532664 1708464 1993208 2242359 2562696 2989812 3065328 3986416 4484718 5125392 5979624 8969436 11959248 17938872 35877744 108238313 216476626 324714939 432953252 649429878 757668191 865906504 974144817 1298859756 1515336382 1731813008 1948289634 2273004573 2597719512 3030672764 3896579268 4546009146 5195439024 6061345528 6819013719 7793158536 9092018292 12122691056 13638027438 15586317072 18184036584 27276054876 36368073168 54552109752 109104219504