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11038940604 = 2233239647661
BaseRepresentation
bin10100100011111100…
…01101110110111100
31001111022201021201000
422101332031312330
5140101432044404
65023214450300
7540361306206
oct122176156674
931438637630
1011038940604
11475521550a
122180b03990
13106c00cc23
1476a129776
154491d2339
hex291f8ddbc

11038940604 has 96 divisors (see below), whose sum is σ = 28827187200. Its totient is φ = 3653052480.

The previous prime is 11038940557. The next prime is 11038940609. The reversal of 11038940604 is 40604983011.

11038940604 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 8 + 9 + 40 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11038940609) 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, 16700034 + ... + 16700694.

It is an arithmetic number, because the mean of its divisors is an integer number (300283200).

Almost surely, 211038940604 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 11038940604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14413593600).

11038940604 is an abundant number, since it is smaller than the sum of its proper divisors (17788246596).

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

11038940604 is a wasteful number, since it uses less digits than its factorization.

11038940604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11038940604 in words is "eleven billion, thirty-eight million, nine hundred forty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 239 478 647 661 717 956 1294 1322 1434 1941 1983 2151 2588 2644 2868 3882 3966 4302 5823 5949 6453 7764 7932 8604 11646 11898 12906 17469 17847 23292 23796 25812 34938 35694 69876 71388 154633 157979 309266 315958 427667 463899 473937 618532 631916 855334 927798 947874 1283001 1391697 1421811 1710668 1855596 1895748 2566002 2783394 2843622 3849003 4175091 4265433 5132004 5566788 5687244 7698006 8350182 8530866 11547009 15396012 16700364 17061732 23094018 46188036 102212413 204424826 306637239 408849652 613274478 919911717 1226548956 1839823434 2759735151 3679646868 5519470302 11038940604