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108541093104 = 24323149312
BaseRepresentation
bin110010100010110001…
…1011010010011110000
3101101011102012211100100
41211011203122103300
53234243004434404
6121510232152400
710561515032403
oct1450543322360
9341142184310
10108541093104
1142039687834
1219052238700
13a30a194ba2
145379539d3a
152c53eb8d39
hex19458da4f0

108541093104 has 90 divisors (see below), whose sum is σ = 313626760928. Its totient is φ = 35006155200.

The previous prime is 108541093099. The next prime is 108541093127. The reversal of 108541093104 is 401390145801.

108541093104 is a `hidden beast` number, since 1 + 0 + 8 + 541 + 0 + 9 + 3 + 104 = 666.

It is a super-2 number, since 2×1085410931042 (a number of 23 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22009519 + ... + 22014449.

Almost surely, 2108541093104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108541093104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156813380464).

108541093104 is an abundant number, since it is smaller than the sum of its proper divisors (205085667824).

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

108541093104 is an frugal number, since it uses more digits than its factorization.

108541093104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9907 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 108541093104 in words is "one hundred eight billion, five hundred forty-one million, ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 4931 9862 14793 19724 29586 39448 44379 59172 78896 88758 118344 152861 177516 236688 305722 355032 458583 611444 710064 917166 1222888 1375749 1834332 2445776 2751498 3668664 5502996 7337328 11005992 22011984 24314761 48629522 72944283 97259044 145888566 194518088 218832849 291777132 389036176 437665698 583554264 753757591 875331396 1167108528 1507515182 1750662792 2261272773 3015030364 3501325584 4522545546 6030060728 6783818319 9045091092 12060121456 13567636638 18090182184 27135273276 36180364368 54270546552 108541093104