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10073520801 = 33373093363
BaseRepresentation
bin10010110000110110…
…11011101010100001
3222000001002212201000
421120123123222201
5131112310131201
64343330302213
7504426341211
oct113033335241
928001085630
1010073520801
1142aa270303
121b51727969
13c46cbc6c6
146b7c20241
153de581d86
hex2586dbaa1

10073520801 has 8 divisors (see below), whose sum is σ = 14923734560. Its totient is φ = 6715680516.

The previous prime is 10073520767. The next prime is 10073520817. The reversal of 10073520801 is 10802537001.

10073520801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10073520801 - 210 = 10073519777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 373093363 = 10073520801 / (1 + 0 + 0 + 7 + 3 + 5 + 2 + 0 + 8 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10073527801) 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 7 ways as a sum of consecutive naturals, for example, 186546655 + ... + 186546708.

It is an arithmetic number, because the mean of its divisors is an integer number (1865466820).

Almost surely, 210073520801 is an apocalyptic number.

It is an amenable number.

10073520801 is a deficient number, since it is larger than the sum of its proper divisors (4850213759).

10073520801 is an equidigital number, since it uses as much as digits as its factorization.

10073520801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373093372 (or 373093366 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10073520801 in words is "ten billion, seventy-three million, five hundred twenty thousand, eight hundred one".

Divisors: 1 3 9 27 373093363 1119280089 3357840267 10073520801