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10726833141 = 321191870349
BaseRepresentation
bin10011111110101111…
…00111101111110101
31000200120102120202100
421333113213233311
5133432032130031
64532225132313
7526551402003
oct117727475765
930616376670
1010726833141
114605021562
1220b448a099
13101c46325b
1473a8c3a73
1542bad0de6
hex27f5e7bf5

10726833141 has 6 divisors (see below), whose sum is σ = 15494314550. Its totient is φ = 7151222088.

The previous prime is 10726833119. The next prime is 10726833163. The reversal of 10726833141 is 14133862701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10726833119) and next prime (10726833163).

It can be written as a sum of positive squares in only one way, i.e., 5674608900 + 5052224241 = 75330^2 + 71079^2 .

It is not a de Polignac number, because 10726833141 - 210 = 10726832117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10726833096 and 10726833105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10726833041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 595935166 + ... + 595935183.

Almost surely, 210726833141 is an apocalyptic number.

It is an amenable number.

10726833141 is a deficient number, since it is larger than the sum of its proper divisors (4767481409).

10726833141 is a wasteful number, since it uses less digits than its factorization.

10726833141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191870355 (or 1191870352 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10726833141 in words is "ten billion, seven hundred twenty-six million, eight hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 1191870349 3575611047 10726833141