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20299097856 = 283236118839
BaseRepresentation
bin10010111001111010…
…111010011100000000
31221101200100000101010
4102321322322130000
5313033032112411
613154132040520
71316013325212
oct227172723400
957350300333
1020299097856
118677347734
123b26163140
131bb664ac0b
14da7d025b2
157dc14c7a6
hex4b9eba700

20299097856 has 144 divisors (see below), whose sum is σ = 57301332480. Its totient is φ = 6365736960.

The previous prime is 20299097851. The next prime is 20299097857. The reversal of 20299097856 is 65879099202.

It is a junction number, because it is equal to n+sod(n) for n = 20299097796 and 20299097805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20299097851) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1068085 + ... + 1086923.

It is an arithmetic number, because the mean of its divisors is an integer number (397925920).

Almost surely, 220299097856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20299097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28650666240).

20299097856 is an abundant number, since it is smaller than the sum of its proper divisors (37002234624).

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

20299097856 is a wasteful number, since it uses less digits than its factorization.

20299097856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18942 (or 18928 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 20299097856 in words is "twenty billion, two hundred ninety-nine million, ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 64 69 92 96 122 128 138 183 184 192 244 256 276 366 368 384 488 552 732 736 768 976 1104 1403 1464 1472 1952 2208 2806 2928 2944 3904 4209 4416 5612 5856 5888 7808 8418 8832 11224 11712 15616 16836 17664 18839 22448 23424 33672 37678 44896 46848 56517 67344 75356 89792 113034 134688 150712 179584 226068 269376 301424 359168 433297 452136 538752 602848 866594 904272 1077504 1149179 1205696 1299891 1733188 1808544 2298358 2411392 2599782 3447537 3466376 3617088 4596716 4822784 5199564 6895074 6932752 7234176 9193432 10399128 13790148 13865504 14468352 18386864 20798256 26431117 27580296 27731008 36773728 41596512 52862234 55160592 55462016 73547456 79293351 83193024 105724468 110321184 110924032 147094912 158586702 166386048 211448936 220642368 294189824 317173404 332772096 422897872 441284736 634346808 845795744 882569472 1268693616 1691591488 2537387232 3383182976 5074774464 6766365952 10149548928 20299097856