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11263636992 = 2937399923
BaseRepresentation
bin10100111110101110…
…10111011000000000
31002001222112001012110
422133113113120000
5141031442340432
65101402455320
7546060222546
oct123727273000
932058461173
1011263636992
114860036203
122224204540
1310a673317a
1478bcd9d96
1545dcb8dcc
hex29f5d7600

11263636992 has 80 divisors (see below), whose sum is σ = 30050665920. Its totient is φ = 3749087232.

The previous prime is 11263636963. The next prime is 11263637017. The reversal of 11263636992 is 29963636211.

11263636992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112636369923 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1130143 + ... + 1140065.

It is an arithmetic number, because the mean of its divisors is an integer number (375633324).

Almost surely, 211263636992 is an apocalyptic number.

11263636992 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 11263636992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15025332960).

11263636992 is an abundant number, since it is smaller than the sum of its proper divisors (18787028928).

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

11263636992 is an frugal number, since it uses more digits than its factorization.

11263636992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10683 (or 10667 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The spelling of 11263636992 in words is "eleven billion, two hundred sixty-three million, six hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 739 768 1478 1536 2217 2956 4434 5912 8868 9923 11824 17736 19846 23648 29769 35472 39692 47296 59538 70944 79384 94592 119076 141888 158768 189184 238152 283776 317536 378368 476304 567552 635072 952608 1135104 1270144 1905216 2540288 3810432 5080576 7333097 7620864 14666194 15241728 21999291 29332388 43998582 58664776 87997164 117329552 175994328 234659104 351988656 469318208 703977312 938636416 1407954624 1877272832 2815909248 3754545664 5631818496 11263636992