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20082892648 = 23721318121773
BaseRepresentation
bin10010101101000010…
…001001111101101000
31220211121111122120211
4102231002021331220
5312112210031043
613120450030504
71310446525300
oct225502117550
956747448524
1020082892648
1185762a6545
123a85878434
131b8090b840
14d87302600
157c8191a9d
hex4ad089f68

20082892648 has 96 divisors (see below), whose sum is σ = 47435529960. Its totient is φ = 7900623360.

The previous prime is 20082892601. The next prime is 20082892667. The reversal of 20082892648 is 84629828002.

It can be written as a sum of positive squares in 4 ways, for example, as 3612250404 + 16470642244 = 60102^2 + 128338^2 .

It is a super-2 number, since 2×200828926482 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 911490 + ... + 933262.

Almost surely, 220082892648 is an apocalyptic number.

20082892648 is a gapful number since it is divisible by the number (28) 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 20082892648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23717764980).

20082892648 is an abundant number, since it is smaller than the sum of its proper divisors (27352637312).

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

20082892648 is a wasteful number, since it uses less digits than its factorization.

20082892648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21987 (or 21976 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The spelling of 20082892648 in words is "twenty billion, eighty-two million, eight hundred ninety-two thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 181 182 196 362 364 392 637 724 728 1267 1274 1448 2353 2534 2548 4706 5068 5096 8869 9412 10136 16471 17738 18824 21773 32942 35476 43546 65884 70952 87092 115297 131768 152411 174184 230594 283049 304822 461188 566098 609644 922376 1066877 1132196 1219288 1981343 2133754 2264392 3940913 3962686 4267508 7881826 7925372 8535016 13869401 15763652 15850744 27586391 27738802 31527304 51231869 55172782 55477604 102463738 110345564 110955208 193104737 204927476 220691128 358623083 386209474 409854952 717246166 772418948 1434492332 1544837896 2510361581 2868984664 5020723162 10041446324 20082892648