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11153543412 = 223111133132389
BaseRepresentation
bin10100110001100110…
…11001000011110100
31001210022100201012110
422120303121003310
5140320301342122
65042431051020
7543252361164
oct123063310364
931708321173
1011153543412
114803980280
1221b3370a70
13108999733b
1477b43c5a4
154542bd90c
hex298cd90f4

11153543412 has 96 divisors (see below), whose sum is σ = 28745619840. Its totient is φ = 3337850880.

The previous prime is 11153543411. The next prime is 11153543417. The reversal of 11153543412 is 21434535111.

It is a self number, because there is not a number n which added to its sum of digits gives 11153543412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11153543411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4667514 + ... + 4669902.

It is an arithmetic number, because the mean of its divisors is an integer number (299433540).

Almost surely, 211153543412 is an apocalyptic number.

11153543412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11153543412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14372809920).

11153543412 is an abundant number, since it is smaller than the sum of its proper divisors (17592076428).

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

11153543412 is a wasteful number, since it uses less digits than its factorization.

11153543412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2831 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The spelling of 11153543412 in words is "eleven billion, one hundred fifty-three million, five hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 113 132 226 313 339 452 626 678 939 1243 1252 1356 1878 2389 2486 3443 3729 3756 4778 4972 6886 7167 7458 9556 10329 13772 14334 14916 20658 26279 28668 35369 41316 52558 70738 78837 105116 106107 141476 157674 212214 269957 315348 389059 424428 539914 747757 778118 809871 1079828 1167177 1495514 1556236 1619742 2243271 2334354 2969527 2991028 3239484 4486542 4668708 5939054 8225327 8908581 8973084 11878108 16450654 17817162 24675981 32901308 35634324 49351962 84496541 98703924 168993082 253489623 337986164 506979246 929461951 1013958492 1858923902 2788385853 3717847804 5576771706 11153543412