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11197395904 = 26672819293
BaseRepresentation
bin10100110110110101…
…01011001111000000
31001220100212122111211
422123122223033000
5140413013132104
65051035015504
7544324203052
oct123332531700
931810778454
1011197395904
114826702302
122205b9a594
131095aac566
147831b58d2
15458081e04
hex29b6ab3c0

11197395904 has 56 divisors (see below), whose sum is σ = 22634161488. Its totient is φ = 5494917120.

The previous prime is 11197395857. The next prime is 11197395919. The reversal of 11197395904 is 40959379111.

11197395904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1200282 + ... + 1209574.

Almost surely, 211197395904 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 11197395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11317080744).

11197395904 is an abundant number, since it is smaller than the sum of its proper divisors (11436765584).

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

11197395904 is an equidigital number, since it uses as much as digits as its factorization.

11197395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9643 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 49.

The spelling of 11197395904 in words is "eleven billion, one hundred ninety-seven million, three hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 67 134 268 281 536 562 1072 1124 2144 2248 4288 4496 8992 9293 17984 18586 18827 37172 37654 74344 75308 148688 150616 297376 301232 594752 602464 622631 1204928 1245262 2490524 2611333 4981048 5222666 9962096 10445332 19924192 20890664 39848384 41781328 83562656 167125312 174959311 349918622 699837244 1399674488 2799348976 5598697952 11197395904