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10037172973 = 149435715461
BaseRepresentation
bin10010101100100001…
…10001101011101101
3221220111201012212011
421112100301223231
5131024004013343
64335551241221
7503505363652
oct112620615355
927814635764
1010037172973
1142907a4683
121b41519211
13c3c604309
146b307bc29
153db2a229d
hex256431aed

10037172973 has 8 divisors (see below), whose sum is σ = 10107509400. Its totient is φ = 9966876480.

The previous prime is 10037172949. The next prime is 10037172979. The reversal of 10037172973 is 37927173001.

10037172973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1485177444 + 8551995529 = 38538^2 + 92477^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10037172973 - 29 = 10037172461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037172979) 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, 641463 + ... + 656923.

It is an arithmetic number, because the mean of its divisors is an integer number (1263438675).

Almost surely, 210037172973 is an apocalyptic number.

It is an amenable number.

10037172973 is a deficient number, since it is larger than the sum of its proper divisors (70336427).

10037172973 is a wasteful number, since it uses less digits than its factorization.

10037172973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19967.

The product of its (nonzero) digits is 55566, while the sum is 40.

The spelling of 10037172973 in words is "ten billion, thirty-seven million, one hundred seventy-two thousand, nine hundred seventy-three".

Divisors: 1 149 4357 15461 649193 2303689 67363577 10037172973