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20871466830 = 23654196833
BaseRepresentation
bin10011011100000010…
…010100111101001110
31222212120100101000000
4103130002110331032
5320221043414310
613331015545130
71336133353344
oct233402247516
958776311000
1020871466830
118940442a45
12406598b1a6
131c780c0b96
14101dd35994
1582250d4c0
hex4dc094f4e

20871466830 has 112 divisors (see below), whose sum is σ = 56469888720. Its totient is φ = 5551628544.

The previous prime is 20871466741. The next prime is 20871466843. The reversal of 20871466830 is 3866417802.

20871466830 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 3051094 + ... + 3057926.

It is an arithmetic number, because the mean of its divisors is an integer number (504195435).

Almost surely, 220871466830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20871466830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28234944360).

20871466830 is an abundant number, since it is smaller than the sum of its proper divisors (35598421890).

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

20871466830 is an equidigital number, since it uses as much as digits as its factorization.

20871466830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7277 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 20871466830 in words is "twenty billion, eight hundred seventy-one million, four hundred sixty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 419 486 729 810 838 1215 1257 1458 2095 2430 2514 3645 3771 4190 6285 6833 7290 7542 11313 12570 13666 18855 20499 22626 33939 34165 37710 40998 56565 61497 67878 68330 101817 102495 113130 122994 169695 184491 203634 204990 305451 307485 339390 368982 509085 553473 610902 614970 922455 1018170 1106946 1527255 1660419 1844910 2767365 2863027 3054510 3320838 4981257 5534730 5726054 8302095 8589081 9962514 14315135 16604190 17178162 24906285 25767243 28630270 42945405 49812570 51534486 77301729 85890810 128836215 154603458 231905187 257672430 386508645 463810374 695715561 773017290 1159525935 1391431122 2087146683 2319051870 3478577805 4174293366 6957155610 10435733415 20871466830