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11828141056 = 21037714397
BaseRepresentation
bin10110000010000001…
…10001110000000000
31010112022201211012101
423001000301300000
5143211001003211
65233410040144
7566053353154
oct130100616000
933468654171
1011828141056
11501a74a496
122361279054
131166681344
14802c83064
154936245c1
hex2c1031c00

11828141056 has 88 divisors (see below), whose sum is σ = 24631403616. Its totient is φ = 5671895040.

The previous prime is 11828140991. The next prime is 11828141071. The reversal of 11828141056 is 65014182811.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2687850 + ... + 2692246.

Almost surely, 211828141056 is an apocalyptic number.

11828141056 is a gapful number since it is divisible by the number (16) 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 11828141056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315701808).

11828141056 is an abundant number, since it is smaller than the sum of its proper divisors (12803262560).

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

11828141056 is an equidigital number, since it uses as much as digits as its factorization.

11828141056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 37.

The spelling of 11828141056 in words is "eleven billion, eight hundred twenty-eight million, one hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 64 71 74 128 142 148 256 284 296 512 568 592 1024 1136 1184 2272 2368 2627 4397 4544 4736 5254 8794 9088 9472 10508 17588 18176 18944 21016 35176 36352 37888 42032 70352 72704 84064 140704 162689 168128 281408 312187 325378 336256 562816 624374 650756 672512 1125632 1248748 1301512 1345024 2251264 2497496 2603024 2690048 4502528 4994992 5206048 9989984 10412096 11550919 19979968 20824192 23101838 39959936 41648384 46203676 79919872 83296768 92407352 159839744 166593536 184814704 319679488 369629408 739258816 1478517632 2957035264 5914070528 11828141056