Search a number
-
+
6983646019840 = 28572973113691
BaseRepresentation
bin110010110100000000110…
…1111011000000100000000
3220201122000022001201002101
41211220001233120010000
51403410001340113330
622504124231000144
71320360154504600
oct145500157300400
926648008051071
106983646019840
112252825129a66
12949588b09054
133b872a4246a9
141a202027cc00
15c19d9ad54ca
hex65a01bd8100

6983646019840 has 432 divisors, whose sum is σ = 19728286591104. Its totient is φ = 2361448857600.

The previous prime is 6983646019813. The next prime is 6983646019907. The reversal of 6983646019840 is 489106463896.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1892072395 + ... + 1892076085.

It is an arithmetic number, because the mean of its divisors is an integer number (45667330072).

Almost surely, 26983646019840 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 6983646019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864143295552).

6983646019840 is an abundant number, since it is smaller than the sum of its proper divisors (12744640571264).

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

6983646019840 is a wasteful number, since it uses less digits than its factorization.

6983646019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 64.

The spelling of 6983646019840 in words is "six trillion, nine hundred eighty-three billion, six hundred forty-six million, nineteen thousand, eight hundred forty".