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12342252552 = 23371722319379
BaseRepresentation
bin10110111111010011…
…11101010000001000
31011212011010101120220
423133221331100020
5200234104040202
65400413150040
7614565262410
oct133751752010
934764111526
1012342252552
115263975023
12248548b320
131219037526
1485126d640
154c3828abc
hex2dfa7d408

12342252552 has 128 divisors (see below), whose sum is σ = 37507276800. Its totient is φ = 3303871488.

The previous prime is 12342252529. The next prime is 12342252563. The reversal of 12342252552 is 25525224321.

It is a super-3 number, since 3×123422525523 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627199 + ... + 646577.

It is an arithmetic number, because the mean of its divisors is an integer number (293025600).

Almost surely, 212342252552 is an apocalyptic number.

12342252552 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 12342252552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18753638400).

12342252552 is an abundant number, since it is smaller than the sum of its proper divisors (25165024248).

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

12342252552 is a wasteful number, since it uses less digits than its factorization.

12342252552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19635 (or 19631 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

Adding to 12342252552 its reverse (25525224321), we get a palindrome (37867476873).

The spelling of 12342252552 in words is "twelve billion, three hundred forty-two million, two hundred fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 223 238 357 408 446 476 669 714 892 952 1338 1428 1561 1784 2676 2856 3122 3791 4683 5352 6244 7582 9366 11373 12488 15164 18732 19379 22746 26537 30328 37464 38758 45492 53074 58137 77516 79611 90984 106148 116274 135653 155032 159222 212296 232548 271306 318444 329443 406959 465096 542612 636888 658886 813918 988329 1085224 1317772 1627836 1976658 2306101 2635544 3255672 3953316 4321517 4612202 6918303 7906632 8643034 9224404 12964551 13836606 17286068 18448808 25929102 27673212 30250619 34572136 51858204 55346424 60501238 73465789 90751857 103716408 121002476 146931578 181503714 220397367 242004952 293863156 363007428 440794734 514260523 587726312 726014856 881589468 1028521046 1542781569 1763178936 2057042092 3085563138 4114084184 6171126276 12342252552