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23126686200 = 23325212848159
BaseRepresentation
bin10101100010011101…
…010011100111111000
32012200201221101101100
4111202131103213320
5334330412424300
614342501051400
71446046406052
oct254235234770
965621841340
1023126686200
119898458702
1245950b6b60
1322473b7507
1411956688d2
159054d6700
hex5627539f8

23126686200 has 72 divisors (see below), whose sum is σ = 77667127200. Its totient is φ = 6167115840.

The previous prime is 23126686189. The next prime is 23126686243. The reversal of 23126686200 is 268662132.

23126686200 is a `hidden beast` number, since 2 + 3 + 1 + 26 + 6 + 8 + 620 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×231266862002 (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6422280 + ... + 6425879.

It is an arithmetic number, because the mean of its divisors is an integer number (1078710100).

Almost surely, 223126686200 is an apocalyptic number.

23126686200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23126686200 is an abundant number, since it is smaller than the sum of its proper divisors (54540441000).

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

23126686200 is a wasteful number, since it uses less digits than its factorization.

23126686200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12848181 (or 12848169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23126686200 in words is "twenty-three billion, one hundred twenty-six million, six hundred eighty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 12848159 25696318 38544477 51392636 64240795 77088954 102785272 115633431 128481590 154177908 192722385 231266862 256963180 308355816 321203975 385444770 462533724 513926360 578167155 642407950 770889540 925067448 963611925 1156334310 1284815900 1541779080 1927223850 2312668620 2569631800 2890835775 3854447700 4625337240 5781671550 7708895400 11563343100 23126686200