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8385108768 = 253341236707
BaseRepresentation
bin1111100111100101…
…01001101100100000
3210122101001122211000
413303302221230200
5114133041440033
63504013552000
7414535151151
oct76362515440
923571048730
108385108768
1136131a2363
1217601a5600
13a3826c72a
145978b3928
1534121ba13
hex1f3ca9b20

8385108768 has 96 divisors (see below), whose sum is σ = 25053174720. Its totient is φ = 2726853120.

The previous prime is 8385108761. The next prime is 8385108773. The reversal of 8385108768 is 8678015838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 (8385108761) 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 15 ways as a sum of consecutive naturals, for example, 82930 + ... + 153777.

It is an arithmetic number, because the mean of its divisors is an integer number (260970570).

Almost surely, 28385108768 is an apocalyptic number.

It is an amenable number.

8385108768 is an abundant number, since it is smaller than the sum of its proper divisors (16668065952).

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

8385108768 is a wasteful number, since it uses less digits than its factorization.

8385108768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236767 (or 236753 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The square root of 8385108768 is about 91570.2395322847. The cubic root of 8385108768 is about 2031.5907813592.

The spelling of 8385108768 in words is "eight billion, three hundred eighty-five million, one hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 984 1107 1312 1476 1968 2214 2952 3936 4428 5904 8856 11808 17712 35424 236707 473414 710121 946828 1420242 1893656 2130363 2840484 3787312 4260726 5680968 6391089 7574624 8521452 9704987 11361936 12782178 17042904 19409974 22723872 25564356 29114961 34085808 38819948 51128712 58229922 68171616 77639896 87344883 102257424 116459844 155279792 174689766 204514848 232919688 262034649 310559584 349379532 465839376 524069298 698759064 931678752 1048138596 1397518128 2096277192 2795036256 4192554384 8385108768