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11271859400 = 2352411374617
BaseRepresentation
bin10100111111101101…
…01110110011001000
31002002112222210020002
422133312232303020
5141041044000100
65102255022132
7546220136564
oct123766566310
932075883202
1011271859400
11486474188a
122226b0a948
1310a83518b9
1478d03a6a4
1545e8902d5
hex29fdaecc8

11271859400 has 48 divisors (see below), whose sum is σ = 26846289540. Its totient is φ = 4398771200.

The previous prime is 11271859381. The next prime is 11271859427. The reversal of 11271859400 is 495817211.

It can be written as a sum of positive squares in 6 ways, for example, as 665743204 + 10606116196 = 25802^2 + 102986^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679109 + ... + 695508.

Almost surely, 211271859400 is an apocalyptic number.

11271859400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11271859400 is an abundant number, since it is smaller than the sum of its proper divisors (15574430140).

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

11271859400 is a wasteful number, since it uses less digits than its factorization.

11271859400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374674 (or 1374665 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 38.

The spelling of 11271859400 in words is "eleven billion, two hundred seventy-one million, eight hundred fifty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 1374617 2749234 5498468 6873085 10996936 13746170 27492340 34365425 54984680 56359297 68730850 112718594 137461700 225437188 274923400 281796485 450874376 563592970 1127185940 1408982425 2254371880 2817964850 5635929700 11271859400