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10920905004240 = 24335711177154401
BaseRepresentation
bin1001111011101011100010…
…1010011101010011010000
31102200000202122110120202000
42132322320222131103100
52412412003140113430
635120554451154000
72205003130622130
oct236727052352320
942600678416660
1010920905004240
113530591192a20
121284664ba5900
13612ab594860a
1429a808a9aac0
1513e1278a4e60
hex9eeb8a9d4d0

10920905004240 has 1280 divisors, whose sum is σ = 50357485486080. Its totient is φ = 2105671680000.

The previous prime is 10920905004193. The next prime is 10920905004371. The reversal of 10920905004240 is 4240050902901.

10920905004240 is a `hidden beast` number, since 1 + 0 + 9 + 20 + 90 + 500 + 4 + 2 + 40 = 666.

It is a super-2 number, since 2×109209050042402 (a number of 27 digits) contains 22 as substring.

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 = 10920905004195 and 10920905004204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 200721040 + ... + 200775440.

It is an arithmetic number, because the mean of its divisors is an integer number (39341785536).

Almost surely, 210920905004240 is an apocalyptic number.

10920905004240 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 10920905004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25178742743040).

10920905004240 is an abundant number, since it is smaller than the sum of its proper divisors (39436580481840).

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

10920905004240 is a wasteful number, since it uses less digits than its factorization.

10920905004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54529 (or 54517 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10920905004240 in words is "ten trillion, nine hundred twenty billion, nine hundred five million, four thousand, two hundred forty".