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10680379437 = 371339122269
BaseRepresentation
bin10011111001001100…
…11010100000101101
31000120100000111020210
421330212122200231
5133333134120222
64523445333033
7525445504320
oct117446324055
930510014223
1010680379437
114590883172
1220a0a07179
13101294a060
147346707b7
154279a6d0c
hex27c99a82d

10680379437 has 16 divisors (see below), whose sum is σ = 17526776960. Its totient is φ = 5633606592.

The previous prime is 10680379433. The next prime is 10680379453. The reversal of 10680379437 is 73497308601.

10680379437 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 10680379437 - 22 = 10680379433 is a prime.

It is a super-2 number, since 2×106803794372 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10680379433) 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 15 ways as a sum of consecutive naturals, for example, 19560862 + ... + 19561407.

It is an arithmetic number, because the mean of its divisors is an integer number (1095423560).

Almost surely, 210680379437 is an apocalyptic number.

It is an amenable number.

10680379437 is a deficient number, since it is larger than the sum of its proper divisors (6846397523).

10680379437 is a wasteful number, since it uses less digits than its factorization.

10680379437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39122292.

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 10680379437 in words is "ten billion, six hundred eighty million, three hundred seventy-nine thousand, four hundred thirty-seven".

Divisors: 1 3 7 13 21 39 91 273 39122269 117366807 273855883 508589497 821567649 1525768491 3560126479 10680379437