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6456543140 = 2251927761339
BaseRepresentation
bin1100000001101011…
…10000011110100100
3121122222010101010102
412000311300132210
5101210333340030
62544402043232
7315666465635
oct60065603644
917588111112
106456543140
112813606473
121302349518
137bb846a38
144536d188c
1527bc69c45
hex180d707a4

6456543140 has 48 divisors (see below), whose sum is σ = 14324116800. Its totient is φ = 2437817472.

The previous prime is 6456543133. The next prime is 6456543193. The reversal of 6456543140 is 413456546.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 6456543094 and 6456543103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74591 + ... + 135929.

It is an arithmetic number, because the mean of its divisors is an integer number (298419100).

Almost surely, 26456543140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456543140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7162058400).

6456543140 is an abundant number, since it is smaller than the sum of its proper divisors (7867573660).

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

6456543140 is a wasteful number, since it uses less digits than its factorization.

6456543140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61644 (or 61642 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 6456543140 is about 80352.6175055922. The cubic root of 6456543140 is about 1862.0872183438.

Adding to 6456543140 its reverse (413456546), we get a palindrome (6869999686).

The spelling of 6456543140 in words is "six billion, four hundred fifty-six million, five hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 277 380 554 1108 1385 2770 5263 5540 10526 21052 26315 52630 61339 105260 122678 245356 306695 613390 1165441 1226780 2330882 4661764 5827205 11654410 16990903 23308820 33981806 67963612 84954515 169909030 322827157 339818060 645654314 1291308628 1614135785 3228271570 6456543140