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10096021232640 = 210355717193797
BaseRepresentation
bin1001001011101010100111…
…0000100101110000000000
31022202011121002010021100000
42102322221300211300000
52310403122413421030
633250014221200000
72061261550351050
oct222725160456000
938664532107300
1010096021232640
113242775868332
121170815100000
1358308756ba45
1426c9159a5560
15127949bed860
hex92ea9c25c00

10096021232640 has 4224 divisors, whose sum is σ = 47948236277760. Its totient is φ = 1981355655168.

The previous prime is 10096021232639. The next prime is 10096021232653. The reversal of 10096021232640 is 4623212069001.

It is a happy number.

10096021232640 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 6 + 0 + 2 + 1 + 2 + 3 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10096021232595 and 10096021232604.

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 383 ways as a sum of consecutive naturals, for example, 104082693072 + ... + 104082693168.

Almost surely, 210096021232640 is an apocalyptic number.

10096021232640 is a gapful number since it is divisible by the number (10) 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 10096021232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974118138880).

10096021232640 is an abundant number, since it is smaller than the sum of its proper divisors (37852215045120).

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

10096021232640 is a wasteful number, since it uses less digits than its factorization.

10096021232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10096021232640 in words is "ten trillion, ninety-six billion, twenty-one million, two hundred thirty-two thousand, six hundred forty".