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109059645852 = 2232313713032027
BaseRepresentation
bin110010110010001110…
…1100010000110011100
3101102111112222000222200
41211210131202012130
53241323232131402
6122033514411500
710610412460113
oct1454435420634
9342445860880
10109059645852
1142285366123
1219177a30b90
13a390744731
1453c8360c7a
152c8479921c
hex196476219c

109059645852 has 144 divisors (see below), whose sum is σ = 292631119872. Its totient is φ = 34186561920.

The previous prime is 109059645797. The next prime is 109059645881. The reversal of 109059645852 is 258546950901.

109059645852 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 59 + 6 + 4 + 585 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 53802463 + ... + 53804489.

Almost surely, 2109059645852 is an apocalyptic number.

109059645852 is a gapful number since it is divisible by the number (12) 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 109059645852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146315559936).

109059645852 is an abundant number, since it is smaller than the sum of its proper divisors (183571474020).

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

109059645852 is a wasteful number, since it uses less digits than its factorization.

109059645852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 109059645852 in words is "one hundred nine billion, fifty-nine million, six hundred forty-five thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 222 279 333 372 444 558 666 1116 1147 1303 1332 2027 2294 2606 3441 3909 4054 4588 5212 6081 6882 7818 8108 10323 11727 12162 13764 15636 18243 20646 23454 24324 36486 40393 41292 46908 48211 62837 72972 74999 80786 96422 121179 125674 144633 149998 161572 188511 192844 224997 242358 251348 289266 299996 363537 377022 433899 449994 484716 565533 578532 674991 727074 754044 867798 899988 1131066 1349982 1454148 1494541 1735596 2262132 2324969 2641181 2699964 2989082 4483623 4649938 5282362 5978164 6974907 7923543 8967246 9299876 10564724 13450869 13949814 15847086 17934492 20924721 23770629 26901738 27899628 31694172 41849442 47541258 53803476 81876611 83698884 95082516 97723697 163753222 195447394 245629833 293171091 327506444 390894788 491259666 586342182 736889499 879513273 982519332 1172684364 1473778998 1759026546 2947557996 3029434607 3518053092 6058869214 9088303821 12117738428 18176607642 27264911463 36353215284 54529822926 109059645852