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107539642392 = 233713479102797
BaseRepresentation
bin110010000100111011…
…1001011100000011000
3101021120121210212020020
41210021313023200120
53230220122024032
6121223015430440
710524634610130
oct1441167134030
9337517725206
10107539642392
1141675363016
1218a12985420
13a1aa86a5c0
1452c2531ac0
152be60ecb2c
hex1909dcb818

107539642392 has 128 divisors (see below), whose sum is σ = 331585228800. Its totient is φ = 28302617088.

The previous prime is 107539642373. The next prime is 107539642417. The reversal of 107539642392 is 293246935701.

107539642392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994738 + ... + 1097534.

It is an arithmetic number, because the mean of its divisors is an integer number (2590509600).

Almost surely, 2107539642392 is an apocalyptic number.

107539642392 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 107539642392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165792614400).

107539642392 is an abundant number, since it is smaller than the sum of its proper divisors (224045586408).

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

107539642392 is a wasteful number, since it uses less digits than its factorization.

107539642392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103305 (or 103301 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 107539642392 in words is "one hundred seven billion, five hundred thirty-nine million, six hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 479 546 728 958 1092 1437 1916 2184 2874 3353 3832 5748 6227 6706 10059 11496 12454 13412 18681 20118 24908 26824 37362 40236 43589 49816 74724 80472 87178 102797 130767 149448 174356 205594 261534 308391 348712 411188 523068 616782 719579 822376 1046136 1233564 1336361 1439158 2158737 2467128 2672722 2878316 4009083 4317474 5345444 5756632 8018166 8634948 9354527 10690888 16036332 17269896 18709054 28063581 32072664 37418108 49239763 56127162 74836216 98479526 112254324 147719289 196959052 224508648 295438578 344678341 393918104 590877156 640116919 689356682 1034035023 1181754312 1280233838 1378713364 1920350757 2068070046 2560467676 2757426728 3840701514 4136140092 4480818433 5120935352 7681403028 8272280184 8961636866 13442455299 15362806056 17923273732 26884910598 35846547464 53769821196 107539642392