Search a number
-
+
6683880115584 = 2735730698303
BaseRepresentation
bin110000101000011011001…
…0011001100110110000000
3212122222021002121222100000
41201100312103030312000
51334002041302144314
622114310535200000
71256615531404140
oct141206623146600
925588232558300
106683880115584
112147688093321
128bb469b16000
13396396c5a399
14191704276920
15b8ce2c68209
hex614364ccd80

6683880115584 has 192 divisors, whose sum is σ = 22795332618240. Its totient is φ = 1909679970816.

The previous prime is 6683880115579. The next prime is 6683880115607. The reversal of 6683880115584 is 4855110883866.

6683880115584 is a `hidden beast` number, since 6 + 6 + 8 + 38 + 8 + 0 + 1 + 15 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×66838801155842 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15131424 + ... + 15566879.

It is an arithmetic number, because the mean of its divisors is an integer number (118725690720).

Almost surely, 26683880115584 is an apocalyptic number.

6683880115584 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6683880115584 is an abundant number, since it is smaller than the sum of its proper divisors (16111452502656).

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

6683880115584 is an equidigital number, since it uses as much as digits as its factorization.

6683880115584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30698339 (or 30698315 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 6683880115584 in words is "six trillion, six hundred eighty-three billion, eight hundred eighty million, one hundred fifteen thousand, five hundred eighty-four".