Search a number
-
+
20468953472 = 271163123039
BaseRepresentation
bin10011000100000010…
…110111000110000000
31221211111221120110212
4103010002313012000
5313410023002342
613223040413252
71323145143122
oct230402670600
957744846425
1020468953472
118754210780
123b73017228
131c128ac5b6
14dc26b9212
157ec000182
hex4c40b7180

20468953472 has 64 divisors (see below), whose sum is σ = 44557516800. Its totient is φ = 9288921600.

The previous prime is 20468953471. The next prime is 20468953481. The reversal of 20468953472 is 27435986402.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20468953472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20468953471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 876929 + ... + 899967.

It is an arithmetic number, because the mean of its divisors is an integer number (696211200).

Almost surely, 220468953472 is an apocalyptic number.

20468953472 is a gapful number since it is divisible by the number (22) 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 20468953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22278758400).

20468953472 is an abundant number, since it is smaller than the sum of its proper divisors (24088563328).

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

20468953472 is a wasteful number, since it uses less digits than its factorization.

20468953472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23695 (or 23683 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 50.

The spelling of 20468953472 in words is "twenty billion, four hundred sixty-eight million, nine hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 631 704 1262 1408 2524 5048 6941 10096 13882 20192 23039 27764 40384 46078 55528 80768 92156 111056 184312 222112 253429 368624 444224 506858 737248 888448 1013716 1474496 2027432 2948992 4054864 8109728 14537609 16219456 29075218 32438912 58150436 116300872 159913699 232601744 319827398 465203488 639654796 930406976 1279309592 1860813952 2558619184 5117238368 10234476736 20468953472