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13832945534124 = 22328910949394319
BaseRepresentation
bin1100100101001011101111…
…0011100000010010101100
31210222102020202110210211200
43021102323303200102230
53303114333024042444
645230433434045500
72625253200000333
oct311227363402254
953872222423750
1013832945534124
114453579147942
121674b01579890
13794597321382
1435b737aa0d1a
1518ec5ee88969
hexc94bbce04ac

13832945534124 has 72 divisors (see below), whose sum is σ = 35362814760000. Its totient is φ = 4558745097984.

The previous prime is 13832945534119. The next prime is 13832945534129. The reversal of 13832945534124 is 42143554923831.

It is a happy number.

13832945534124 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 2 + 94 + 5 + 534 + 12 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13832945534119) and next prime (13832945534129).

It is a super-2 number, since 2×138329455341242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13832945534129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34883437 + ... + 35277755.

It is an arithmetic number, because the mean of its divisors is an integer number (491150205000).

Almost surely, 213832945534124 is an apocalyptic number.

It is an amenable number.

13832945534124 is an abundant number, since it is smaller than the sum of its proper divisors (21529869225876).

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

13832945534124 is a wasteful number, since it uses less digits than its factorization.

13832945534124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405367 (or 405362 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 13832945534124 in words is "thirteen trillion, eight hundred thirty-two billion, nine hundred forty-five million, five hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 10949 21898 32847 43796 65694 98541 131388 197082 394164 394319 788638 974461 1182957 1577276 1948922 2365914 2923383 3548871 3897844 4731828 5846766 7097742 8770149 11693532 14195484 17540298 35080596 35094391 70188782 105283173 140377564 210566346 315849519 421132692 631699038 1263398076 4317398731 8634797462 12952196193 17269594924 25904392386 38856588579 51808784772 77713177158 155426354316 384248487059 768496974118 1152745461177 1536993948236 2305490922354 3458236383531 4610981844708 6916472767062 13832945534124