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11032129990 = 257247617853
BaseRepresentation
bin10100100011001000…
…01111000111000110
31001110211220021022001
422101210033013012
5140043211124430
65022412455514
7540246362200
oct122144170706
931424807261
1011032129990
114751393602
12217a77a59a
13106a796c8b
14769275770
154487d93ca
hex29190f1c6

11032129990 has 96 divisors (see below), whose sum is σ = 23981215104. Its totient is φ = 3640815360.

The previous prime is 11032129987. The next prime is 11032130027. The reversal of 11032129990 is 9992123011.

11032129990 = 65882 + 65892 + ... + 68322.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1400904 + ... + 1408756.

It is an arithmetic number, because the mean of its divisors is an integer number (249804324).

Almost surely, 211032129990 is an apocalyptic number.

11032129990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11032129990 is an abundant number, since it is smaller than the sum of its proper divisors (12949085114).

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

11032129990 is a wasteful number, since it uses less digits than its factorization.

11032129990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7982 (or 7975 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 37.

The spelling of 11032129990 in words is "eleven billion, thirty-two million, one hundred twenty-nine thousand, nine hundred ninety".

Divisors: 1 2 5 7 10 14 35 47 49 61 70 94 98 122 235 245 305 329 427 470 490 610 658 854 1645 2135 2303 2867 2989 3290 4270 4606 5734 5978 7853 11515 14335 14945 15706 20069 23030 28670 29890 39265 40138 54971 78530 100345 109942 140483 200690 274855 280966 369091 384797 479033 549710 702415 738182 769594 958066 1404830 1845455 1923985 2395165 2583637 3353231 3690910 3847970 4790330 5167274 6706462 12918185 16766155 18085459 22514551 23472617 25836370 33532310 36170918 45029102 46945234 90427295 112572755 117363085 157601857 180854590 225145510 234726170 315203714 788009285 1103212999 1576018570 2206425998 5516064995 11032129990