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10634140500 = 2235329244463
BaseRepresentation
bin10011110011101100…
…00001101101010100
31000110010000022100120
421321312001231110
5133234314444000
64515114311540
7524344463034
oct117166015524
930403008316
1010634140500
114567771175
1220894285b0
1310061aa839
1472c4758c4
154238c16a0
hex279d81b54

10634140500 has 96 divisors (see below), whose sum is σ = 32034562560. Its totient is φ = 2737974400.

The previous prime is 10634140493. The next prime is 10634140501. The reversal of 10634140500 is 504143601.

10634140500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106341405002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10634140501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78732 + ... + 165731.

It is an arithmetic number, because the mean of its divisors is an integer number (333693360).

Almost surely, 210634140500 is an apocalyptic number.

10634140500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10634140500 is an abundant number, since it is smaller than the sum of its proper divisors (21400422060).

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

10634140500 is a wasteful number, since it uses less digits than its factorization.

10634140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244514 (or 244502 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 10634140500 in words is "ten billion, six hundred thirty-four million, one hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 125 145 150 174 250 290 300 348 375 435 500 580 725 750 870 1450 1500 1740 2175 2900 3625 4350 7250 8700 10875 14500 21750 43500 244463 488926 733389 977852 1222315 1466778 2444630 2933556 3666945 4889260 6111575 7089427 7333890 12223150 14178854 14667780 18334725 21268281 24446300 28357708 30557875 35447135 36669450 42536562 61115750 70894270 73338900 85073124 91673625 106341405 122231500 141788540 177235675 183347250 212682810 354471350 366694500 425365620 531707025 708942700 886178375 1063414050 1772356750 2126828100 2658535125 3544713500 5317070250 10634140500