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20010082848 = 253742170729
BaseRepresentation
bin10010101000101100…
…011010001000100000
31220122112111112022120
4102220230122020200
5311440040122343
613105325304240
71305603616650
oct225054321040
956575445276
1020010082848
118539196458
123a65405080
131b6b7c8112
14d7b78c360
157c1aad683
hex4a8b1a220

20010082848 has 96 divisors (see below), whose sum is σ = 60173688960. Its totient is φ = 5703505920.

The previous prime is 20010082843. The next prime is 20010082871. The reversal of 20010082848 is 84828001002.

It is a Cunningham number, because it is equal to 1414572-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×200100828482 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20010082843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247548 + ... + 318276.

It is an arithmetic number, because the mean of its divisors is an integer number (626809260).

Almost surely, 220010082848 is an apocalyptic number.

20010082848 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 20010082848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30086844480).

20010082848 is an abundant number, since it is smaller than the sum of its proper divisors (40163606112).

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

20010082848 is a wasteful number, since it uses less digits than its factorization.

20010082848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71170 (or 71162 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 20010082848 in words is "twenty billion, ten million, eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 421 672 842 1263 1684 2526 2947 3368 5052 5894 6736 8841 10104 11788 13472 17682 20208 23576 35364 40416 47152 70728 70729 94304 141456 141458 212187 282912 282916 424374 495103 565832 848748 990206 1131664 1485309 1697496 1980412 2263328 2970618 3394992 3960824 5941236 6789984 7921648 11882472 15843296 23764944 29776909 47529888 59553818 89330727 119107636 178661454 208438363 238215272 357322908 416876726 476430544 625315089 714645816 833753452 952861088 1250630178 1429291632 1667506904 2501260356 2858583264 3335013808 5002520712 6670027616 10005041424 20010082848