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6834235451904 = 293772172431
BaseRepresentation
bin110001101110011100000…
…1011010010101000000000
3220012100100121201110000000
41203130320023102220000
51343433003233430104
622311334320000000
71303520503566300
oct143347013225000
926170317643000
106834235451904
1121a5423820953
1292462b760000
133a7609010903
14198ac8cc3600
15bcb92b37639
hex637382d2a00

6834235451904 has 1440 divisors, whose sum is σ = 25365676849920. Its totient is φ = 1833513615360.

The previous prime is 6834235451903. The next prime is 6834235451951. The reversal of 6834235451904 is 4091545324386.

It is a happy number.

6834235451904 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 2 + 3 + 545 + 1 + 90 + 4 = 666.

It is a super-2 number, since 2×68342354519042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6834235451903) 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 143 ways as a sum of consecutive naturals, for example, 15856694569 + ... + 15856694999.

It is an arithmetic number, because the mean of its divisors is an integer number (17615053368).

Almost surely, 26834235451904 is an apocalyptic number.

6834235451904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6834235451904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12682838424960).

6834235451904 is an abundant number, since it is smaller than the sum of its proper divisors (18531441398016).

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

6834235451904 is an frugal number, since it uses more digits than its factorization.

6834235451904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 6834235451904 in words is "six trillion, eight hundred thirty-four billion, two hundred thirty-five million, four hundred fifty-one thousand, nine hundred four".