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4625106864768 = 2732132371379499
BaseRepresentation
bin100001101001101110111…
…0110100000101010000000
3121101011012122112122010200
41003103131312200222000
51101234204324133033
613500424511325200
7655103313455445
oct103233566405200
917334178478120
104625106864768
111523551281285
12628462b20800
132771b8167730
1411dbdbc279cc
158049a0a9013
hex434ddda0a80

4625106864768 has 768 divisors, whose sum is σ = 15237331200000. Its totient is φ = 1335839662080.

The previous prime is 4625106864757. The next prime is 4625106864779. The reversal of 4625106864768 is 8674686015264.

It is a happy number.

4625106864768 is a `hidden beast` number, since 46 + 2 + 510 + 6 + 8 + 6 + 4 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4625106864757) and next prime (4625106864779).

It is a super-2 number, since 2×46251068647682 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9268750983 + ... + 9268751481.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275000).

Almost surely, 24625106864768 is an apocalyptic number.

4625106864768 is a gapful number since it is divisible by the number (48) 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 4625106864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600000).

4625106864768 is an abundant number, since it is smaller than the sum of its proper divisors (10612224335232).

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

4625106864768 is a wasteful number, since it uses less digits than its factorization.

4625106864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4625106864768 in words is "four trillion, six hundred twenty-five billion, one hundred six million, eight hundred sixty-four thousand, seven hundred sixty-eight".