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6106954768 = 241923984053
BaseRepresentation
bin1011011000000000…
…01011110000010000
3120202121022110000221
411230000023300100
5100001340023033
62445553122424
7304223154565
oct55400136020
916677273027
106106954768
112654242562
121225259414
137642a6005
1441d0d086c
1525b21312d
hex16c00bc10

6106954768 has 40 divisors (see below), whose sum is σ = 12507235200. Its totient is φ = 2880630144.

The previous prime is 6106954753. The next prime is 6106954783. The reversal of 6106954768 is 8674596016.

It is an interprime number because it is at equal distance from previous prime (6106954753) and next prime (6106954783).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30630 + ... + 114682.

It is an arithmetic number, because the mean of its divisors is an integer number (312680880).

Almost surely, 26106954768 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 6106954768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253617600).

6106954768 is an abundant number, since it is smaller than the sum of its proper divisors (6400280432).

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

6106954768 is a wasteful number, since it uses less digits than its factorization.

6106954768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84319 (or 84313 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 6106954768 is about 78147.0074155114. The cubic root of 6106954768 is about 1827.8542706632.

The spelling of 6106954768 in words is "six billion, one hundred six million, nine hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 239 304 478 956 1912 3824 4541 9082 18164 36328 72656 84053 168106 336212 672424 1344848 1597007 3194014 6388028 12776056 20088667 25552112 40177334 80354668 160709336 321418672 381684673 763369346 1526738692 3053477384 6106954768