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12514425542532 = 223473951155631
BaseRepresentation
bin1011011000011011110111…
…1000111001011110000100
31122022100220211111022020000
42312012331320321132010
53120014020414330112
642341014150441300
72431065062664234
oct266067570713604
948270824438200
1012514425542532
113a95379a71981
1214a1467963230
136ca14a361c34
143139b6a0bcc4
1516a7e01e37dc
hexb61bde39784

12514425542532 has 120 divisors (see below), whose sum is σ = 33167416541952. Its totient is φ = 4113825148800.

The previous prime is 12514425542513. The next prime is 12514425542539. The reversal of 12514425542532 is 23524552441521.

12514425542532 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 4 + 42 + 554 + 2 + 53 + 2 = 666.

It is a super-2 number, since 2×125144255425322 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12514425542539) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224926357 + ... + 224981987.

Almost surely, 212514425542532 is an apocalyptic number.

12514425542532 is a gapful number since it is divisible by the number (12) 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 12514425542532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16583708270976).

12514425542532 is an abundant number, since it is smaller than the sum of its proper divisors (20652990999420).

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

12514425542532 is a wasteful number, since it uses less digits than its factorization.

12514425542532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65231 (or 65220 counting only the distinct ones).

The product of its digits is 1920000, while the sum is 45.

The spelling of 12514425542532 in words is "twelve trillion, five hundred fourteen billion, four hundred twenty-five million, five hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 292 324 438 657 876 1314 1971 2628 3942 5913 7884 9511 11826 19022 23652 28533 38044 55631 57066 85599 111262 114132 166893 171198 222524 256797 333786 342396 500679 513594 667572 694303 770391 1001358 1027188 1388606 1502037 1540782 2002716 2082909 2777212 3004074 3081564 4061063 4165818 4506111 6008148 6248727 8122126 8331636 9012222 12183189 12497454 16244252 18024444 18746181 24366378 24994908 36549567 37492362 48732756 56238543 73099134 74984724 109648701 112477086 146198268 219297402 224954172 328946103 438594804 529106441 657892206 1058212882 1315784412 1587319323 2116425764 3174638646 4761957969 6349277292 9523915938 14285873907 19047831876 28571747814 38624770193 42857621721 57143495628 77249540386 85715243442 115874310579 154499080772 171430486884 231748621158 347622931737 463497242316 695245863474 1042868795211 1390491726948 2085737590422 3128606385633 4171475180844 6257212771266 12514425542532