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110680625016 = 233313112335099
BaseRepresentation
bin110011100010100010…
…1000100111101111000
3101120200112010022101000
41213011011010331320
53303133220000031
6122502421525000
710665524534643
oct1470505047570
9346615108330
10110680625016
1142a37366825
121954a873760
13a58b5144c0
1454dd756a5a
152d2bc3e3e6
hex19c5144f78

110680625016 has 128 divisors (see below), whose sum is σ = 331400160000. Its totient is φ = 34024281984.

The previous prime is 110680624997. The next prime is 110680625021. The reversal of 110680625016 is 610526086011.

110680625016 is a `hidden beast` number, since 1 + 10 + 6 + 8 + 0 + 625 + 0 + 16 = 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 31 ways as a sum of consecutive naturals, for example, 3135835 + ... + 3170933.

It is an arithmetic number, because the mean of its divisors is an integer number (2589063750).

Almost surely, 2110680625016 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 110680625016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165700080000).

110680625016 is an abundant number, since it is smaller than the sum of its proper divisors (220719534984).

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

110680625016 is a wasteful number, since it uses less digits than its factorization.

110680625016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36250 (or 36240 counting only the distinct ones).

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

The spelling of 110680625016 in words is "one hundred ten billion, six hundred eighty million, six hundred twenty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1123 1404 2246 2808 3369 4492 6738 8984 10107 13476 14599 20214 26952 29198 30321 35099 40428 43797 58396 60642 70198 80856 87594 105297 116792 121284 131391 140396 175188 210594 242568 262782 280792 315891 350376 394173 421188 456287 525564 631782 788346 842376 912574 947673 1051128 1263564 1368861 1576692 1825148 1895346 2527128 2737722 3153384 3650296 3790692 4106583 5475444 7581384 8213166 10950888 12319749 16426332 24639498 32852664 39416177 49278996 78832354 98557992 118248531 157664708 236497062 315329416 354745593 472994124 512410301 709491186 945988248 1024820602 1064236779 1418982372 1537230903 2049641204 2128473558 2837964744 3074461806 4099282408 4256947116 4611692709 6148923612 8513894232 9223385418 12297847224 13835078127 18446770836 27670156254 36893541672 55340312508 110680625016