Search a number
-
+
10470729345120 = 2534511531385809
BaseRepresentation
bin1001100001011110100000…
…0110100110100001100000
31101001222210010112122010000
42120113220012212201200
52333023023203020440
634134104152340000
72130325301636502
oct230275006464140
941058703478100
1010470729345120
11337767a820250
12121136a0a4600
135ac502056465
14282b00b1dd72
1513257aeb9730
hex985e81a6860

10470729345120 has 480 divisors, whose sum is σ = 41072947201440. Its totient is φ = 2490463272960.

The previous prime is 10470729345053. The next prime is 10470729345121. The reversal of 10470729345120 is 2154392707401.

10470729345120 is a `hidden beast` number, since 1 + 0 + 47 + 0 + 7 + 2 + 93 + 4 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10470729345121) 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 79 ways as a sum of consecutive naturals, for example, 6862776 + ... + 8248584.

It is an arithmetic number, because the mean of its divisors is an integer number (85568640003).

Almost surely, 210470729345120 is an apocalyptic number.

10470729345120 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 10470729345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20536473600720).

10470729345120 is an abundant number, since it is smaller than the sum of its proper divisors (30602217856320).

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

10470729345120 is a wasteful number, since it uses less digits than its factorization.

10470729345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385900 (or 1385883 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 10470729345120 in words is "ten trillion, four hundred seventy billion, seven hundred twenty-nine million, three hundred forty-five thousand, one hundred twenty".