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6219361681904 = 247232318938047
BaseRepresentation
bin101101010000000111011…
…0110000000000111110000
3211000120021000020120211102
41122200032312000013300
51303344223042310104
621121045121103532
71211222403021320
oct132401666000760
924016230216742
106219361681904
111a88686592858
1284542b787ba8
13361638a32b87
141770394b7280
15abba70dba1e
hex5a80ed801f0

6219361681904 has 240 divisors, whose sum is σ = 15027998146560. Its totient is φ = 2439521694720.

The previous prime is 6219361681903. The next prime is 6219361681933. The reversal of 6219361681904 is 4091861639126.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 6219361681904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6219361681901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163446209 + ... + 163484255.

It is an arithmetic number, because the mean of its divisors is an integer number (62616658944).

Almost surely, 26219361681904 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 6219361681904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513999073280).

6219361681904 is an abundant number, since it is smaller than the sum of its proper divisors (8808636464656).

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

6219361681904 is a wasteful number, since it uses less digits than its factorization.

6219361681904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38228 (or 38199 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The spelling of 6219361681904 in words is "six trillion, two hundred nineteen billion, three hundred sixty-one million, six hundred eighty-one thousand, nine hundred four".