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104614171700 = 22523122414517
BaseRepresentation
bin110000101101101111…
…1011001010000110100
3101000000202000112212212
41201123133121100310
53203222211443300
6120020432432552
710362302534063
oct1413337312064
9330022015785
10104614171700
1140403a77645
12183370a8758
139b3274c35c
1450c5baa1da
152ac437b935
hex185b7d9434

104614171700 has 108 divisors (see below), whose sum is σ = 235597444236. Its totient is φ = 40318848000.

The previous prime is 104614171693. The next prime is 104614171709. The reversal of 104614171700 is 7171416401.

It can be written as a sum of positive squares in 6 ways, for example, as 13745686564 + 90868485136 = 117242^2 + 301444^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104614171709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23157842 + ... + 23162358.

It is an arithmetic number, because the mean of its divisors is an integer number (2181457817).

Almost surely, 2104614171700 is an apocalyptic number.

104614171700 is a gapful number since it is divisible by the number (10) 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 104614171700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117798722118).

104614171700 is an abundant number, since it is smaller than the sum of its proper divisors (130983272536).

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

104614171700 is a wasteful number, since it uses less digits than its factorization.

104614171700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The spelling of 104614171700 in words is "one hundred four billion, six hundred fourteen million, one hundred seventy-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 241 310 482 620 775 961 964 1205 1550 1922 2410 3100 3844 4517 4805 4820 6025 7471 9034 9610 12050 14942 18068 19220 22585 24025 24100 29884 37355 45170 48050 74710 90340 96100 112925 140027 149420 186775 225850 231601 280054 373550 451700 463202 560108 700135 747100 926404 1088597 1158005 1400270 2177194 2316010 2800540 3500675 4340837 4354388 4632020 5442985 5790025 7001350 8681674 10885970 11580050 14002700 17363348 21704185 21771940 23160100 27214925 33746507 43408370 54429850 67493014 86816740 108520925 108859700 134986028 168732535 217041850 337465070 434083700 674930140 843662675 1046141717 1687325350 2092283434 3374650700 4184566868 5230708585 10461417170 20922834340 26153542925 52307085850 104614171700