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11641431552 = 29327127967
BaseRepresentation
bin10101101011110001…
…00010011000000000
31010001022101222220120
422311320202120000
5142320201302202
65203100140240
7561325351452
oct126570423000
933038358816
1011641431552
114a34314913
12230a837680
131136a9b54a
147c61602d2
154820430bc
hex2b5e22600

11641431552 has 80 divisors (see below), whose sum is σ = 31129055232. Its totient is φ = 3866019840.

The previous prime is 11641431511. The next prime is 11641431553. The reversal of 11641431552 is 25513414611.

It is a super-2 number, since 2×116414315522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11641431553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 402273 + ... + 430239.

Almost surely, 211641431552 is an apocalyptic number.

11641431552 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 11641431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15564527616).

11641431552 is an abundant number, since it is smaller than the sum of its proper divisors (19487623680).

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

11641431552 is an equidigital number, since it uses as much as digits as its factorization.

11641431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28259 (or 28243 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The spelling of 11641431552 in words is "eleven billion, six hundred forty-one million, four hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 512 542 768 813 1084 1536 1626 2168 3252 4336 6504 8672 13008 17344 26016 27967 34688 52032 55934 69376 83901 104064 111868 138752 167802 208128 223736 335604 416256 447472 671208 894944 1342416 1789888 2684832 3579776 5369664 7159552 7579057 10739328 14319104 15158114 21478656 22737171 30316228 42957312 45474342 60632456 90948684 121264912 181897368 242529824 363794736 485059648 727589472 970119296 1455178944 1940238592 2910357888 3880477184 5820715776 11641431552