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13542523214220 = 223457211132351871
BaseRepresentation
bin1100010100010001110101…
…0010010001100110001100
31202221122121201122100020000
43011010131102101212030
53233340041420323340
644445203235524300
72565262231004400
oct305043522214614
952848551570200
1013542523214220
114351396335440
12162876b759690
137730928552c0
1434b66698b100
15187413565d30
hexc511d49198c

13542523214220 has 1440 divisors, whose sum is σ = 60584709943296. Its totient is φ = 2484581299200.

The previous prime is 13542523214201. The next prime is 13542523214279. The reversal of 13542523214220 is 2241232524531.

13542523214220 is a `hidden beast` number, since 1 + 3 + 5 + 425 + 2 + 3 + 2 + 1 + 4 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 261054885 + ... + 261106755.

Almost surely, 213542523214220 is an apocalyptic number.

13542523214220 is a gapful number since it is divisible by the number (10) 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 13542523214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30292354971648).

13542523214220 is an abundant number, since it is smaller than the sum of its proper divisors (47042186729076).

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

13542523214220 is a wasteful number, since it uses less digits than its factorization.

13542523214220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51953 (or 51935 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 13542523214220 its reverse (2241232524531), we get a palindrome (15783755738751).

The spelling of 13542523214220 in words is "thirteen trillion, five hundred forty-two billion, five hundred twenty-three million, two hundred fourteen thousand, two hundred twenty".