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11431526272 = 273115119079
BaseRepresentation
bin10101010010101111…
…10011111110000000
31002111200102200222221
422221113303332000
5141402432320042
65130201140424
7553166240635
oct125127637600
932450380887
1011431526272
114936886981
12227048a714
13110245683a
147a632018c
1546d8cdd67
hex2a95f3f80

11431526272 has 64 divisors (see below), whose sum is σ = 23665305600. Its totient is φ = 5494464000.

The previous prime is 11431526243. The next prime is 11431526287. The reversal of 11431526272 is 27262513411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589629 + ... + 608707.

It is an arithmetic number, because the mean of its divisors is an integer number (369770400).

Almost surely, 211431526272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11431526272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832652800).

11431526272 is an abundant number, since it is smaller than the sum of its proper divisors (12233779328).

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

11431526272 is a wasteful number, since it uses less digits than its factorization.

11431526272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19275 (or 19263 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The spelling of 11431526272 in words is "eleven billion, four hundred thirty-one million, five hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 151 248 302 496 604 992 1208 1984 2416 3968 4681 4832 9362 9664 18724 19079 19328 37448 38158 74896 76316 149792 152632 299584 305264 591449 599168 610528 1182898 1221056 2365796 2442112 2880929 4731592 5761858 9463184 11523716 18926368 23047432 37852736 46094864 75705472 89308799 92189728 178617598 184379456 357235196 368758912 714470392 1428940784 2857881568 5715763136 11431526272