Search a number
-
+
6421363542 = 23211372413637
BaseRepresentation
bin1011111101011111…
…00011101101010110
3121120111221001210100
411332233203231112
5101122332113132
62541104034530
7315061455336
oct57657435526
917514831710
106421363542
1127a5768520
1212b2602a46
137b447a2c9
1444cb750c6
15278b1b37c
hex17ebe3b56

6421363542 has 96 divisors (see below), whose sum is σ = 15656962464. Its totient is φ = 1884902400.

The previous prime is 6421363523. The next prime is 6421363547. The reversal of 6421363542 is 2453631246.

6421363542 is a `hidden beast` number, since 6 + 4 + 2 + 13 + 635 + 4 + 2 = 666.

It is a super-3 number, since 3×64213635423 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6421363497 and 6421363506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6421363547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1763748 + ... + 1767384.

It is an arithmetic number, because the mean of its divisors is an integer number (163093359).

Almost surely, 26421363542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6421363542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7828481232).

6421363542 is an abundant number, since it is smaller than the sum of its proper divisors (9235598922).

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

6421363542 is a wasteful number, since it uses less digits than its factorization.

6421363542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3931 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 6421363542 is about 80133.4108970784. The cubic root of 6421363542 is about 1858.6990886012.

Adding to 6421363542 its reverse (2453631246), we get a palindrome (8874994788).

It can be divided in two parts, 6421 and 363542, that added together give a palindrome (369963).

The spelling of 6421363542 in words is "six billion, four hundred twenty-one million, three hundred sixty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 241 333 407 482 666 723 814 1221 1446 2169 2442 2651 3637 3663 4338 5302 7274 7326 7953 8917 10911 15906 17834 21822 23859 26751 32733 40007 47718 53502 65466 80014 80253 98087 120021 134569 160506 196174 240042 269138 294261 360063 403707 588522 720126 807414 876517 882783 1211121 1480259 1753034 1765566 2422242 2629551 2960518 4440777 5259102 7888653 8881554 9641687 13322331 15777306 19283374 26644662 28925061 32431129 57850122 64862258 86775183 97293387 173550366 194586774 291880161 356742419 583760322 713484838 1070227257 2140454514 3210681771 6421363542