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11197137432 = 23313375318301
BaseRepresentation
bin10100110110110011…
…01100001000011000
31001220100101111221210
422123121230020120
5140412431344212
65051025303120
7544322045355
oct123331541030
931810344853
1011197137432
114826546098
122205a94aa0
131095a1ba10
1478314962c
1545803053c
hex29b66c218

11197137432 has 128 divisors (see below), whose sum is σ = 31546791360. Its totient is φ = 3288729600.

The previous prime is 11197137407. The next prime is 11197137439. The reversal of 11197137432 is 23473179111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11197137439) 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, 602682 + ... + 620982.

Almost surely, 211197137432 is an apocalyptic number.

11197137432 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 11197137432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15773395680).

11197137432 is an abundant number, since it is smaller than the sum of its proper divisors (20349653928).

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

11197137432 is a wasteful number, since it uses less digits than its factorization.

11197137432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18413 (or 18409 counting only the distinct ones).

The product of its digits is 31752, while the sum is 39.

The spelling of 11197137432 in words is "eleven billion, one hundred ninety-seven million, one hundred thirty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 53 74 78 104 106 111 148 156 159 212 222 296 312 318 424 444 481 636 689 888 962 1272 1378 1443 1924 1961 2067 2756 2886 3848 3922 4134 5512 5772 5883 7844 8268 11544 11766 15688 16536 18301 23532 25493 36602 47064 50986 54903 73204 76479 101972 109806 146408 152958 203944 219612 237913 305916 439224 475826 611832 677137 713739 951652 969953 1354274 1427478 1903304 1939906 2031411 2708548 2854956 2909859 3879812 4062822 5417096 5709912 5819718 7759624 8125644 8802781 11639436 12609389 16251288 17605562 23278872 25218778 26408343 35211124 35888261 37828167 50437556 52816686 70422248 71776522 75656334 100875112 105633372 107664783 143553044 151312668 211266744 215329566 287106088 302625336 430659132 466547393 861318264 933094786 1399642179 1866189572 2799284358 3732379144 5598568716 11197137432