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10109463168 = 273717221233
BaseRepresentation
bin10010110101001001…
…00010101010000000
3222002112201221100210
421122210202222000
5131201010310133
64351052514120
7505344006360
oct113244425200
928075657323
1010109463168
11431858a342
121b6177b940
13c5159538c
146bc8d89a0
153e27d1763
hex25a922a80

10109463168 has 128 divisors (see below), whose sum is σ = 32494849920. Its totient is φ = 2718498816.

The previous prime is 10109463157. The next prime is 10109463197. The reversal of 10109463168 is 86136490101.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64921 + ... + 156312.

It is an arithmetic number, because the mean of its divisors is an integer number (253866015).

Almost surely, 210109463168 is an apocalyptic number.

It is an amenable number.

10109463168 is an abundant number, since it is smaller than the sum of its proper divisors (22385386752).

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

10109463168 is a wasteful number, since it uses less digits than its factorization.

10109463168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221274 (or 221262 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 10109463168 in words is "ten billion, one hundred nine million, four hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 272 336 357 384 408 448 476 544 672 714 816 896 952 1088 1344 1428 1632 1904 2176 2688 2856 3264 3808 5712 6528 7616 11424 15232 22848 45696 221233 442466 663699 884932 1327398 1548631 1769864 2654796 3097262 3539728 3760961 4645893 5309592 6194524 7079456 7521922 9291786 10619184 11282883 12389048 14158912 15043844 18583572 21238368 22565766 24778096 26326727 28317824 30087688 37167144 42476736 45131532 49556192 52653454 60175376 74334288 78980181 84953472 90263064 99112384 105306908 120350752 148668576 157960362 180526128 198224768 210613816 240701504 297337152 315920724 361052256 421227632 481403008 594674304 631841448 722104512 842455264 1263682896 1444209024 1684910528 2527365792 3369821056 5054731584 10109463168